LCM for 60 and 435

"Least Common Multiple" Calculator

Least Common Multiple of

and

What's the Least Common Multiple (LCM) of 60 and 435?

Answer

LCM of 60 and 435 is 1,740

(One thousand, seven hundred forty)

Finding LCM for 60 and 435 using GCF of these numbers

The first method to find LCM for numbers 60 and 435 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:

LCM = (Number1 × Number2) ÷ GCF

GCF of numbers 60 and 435 is 15, so

LCM = (60 × 435) ÷ 15

LCM = 26100 ÷ 15

LCM = 1740

Finding LCM for 60 and 435 by Listing Multiples

The second method to find LCM for numbers 60 and 435 is to list out the common multiples for both numbers and pick the first one that matches:

Multiples of 60: 60, 120, 180, 240, 300, 360, 420, 480, 540, 600, 660, 720, 780, 840, 900, 960, 1020, 1080, 1140, 1200, 1260, 1320, 1380, 1440, 1500, 1560, 1620, 1680, 1740, 1800, 1860

Multiples of 435: 435, 870, 1305, 1740, 2175, 2610

So the LCM for 60 and 435 is 1740

Finding LCM for 60 and 435 by Prime Factorization

Another method to find LCM for numbers 60 and 435 is to list all Prime Factors for both numbers and multiply the highest exponent prime factors:

All Prime Factors of 60: 2, 2, 3, 5 (exponent form: 22, 31, 51)

All Prime Factors of 435: 3, 5, 29 (exponent form: 31, 51, 291)

22 × 31 × 51 × 291 = 1740

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About "Least Common Multiple" Calculator

This calculator will help you find the Least Common Multiple (LCM) of two numbers. For example, it can help you find out what's the Least Common Multiple (LCM) of 60 and 435? (The answer is: 1740). Select the first number (e.g. '60') and the second number (e.g. '435'). After that hit the 'Calculate' button.
Least Common Multiple (LCM) also known as the Lowest Common Multiple or Smallest Common Multiple of 2 numbers - it is the smallest positive integer that is divisible by both numbers

"Least Common Multiple" Calculator

Least Common Multiple of

and

LCM Table

Number 1Number 2LCM
454351305
4643520010
4743520445
484356960
4943521315
504354350
514357395
5243522620
5343523055
544357830
554354785
5643524360
574358265
58435870
5943525665
604351740
6143526535
6243526970
634359135
6443527840
654355655
664359570
6743529145
6843529580
6943510005
704356090
7143530885
7243510440
7343531755
7443532190

FAQ

What's the Least Common Multiple (LCM) of 60 and 435?

LCM of 60 and 435 is 1,740

How to find the LCM of 60 and 435 using prime factorization?

To find the LCM of 60 and 435, find all prime factors of both numbers, then multiply the highest power of each prime factor. The result is 1,740.

What is the difference between LCM and GCF?

LCM (Least Common Multiple) is the smallest number divisible by both numbers, while GCF (Greatest Common Factor) is the largest number that divides both. For 60 and 435: LCM = 1,740, GCF = 15.

See Also