LCM for 18 and 48

What's the Least Common Multiple (LCM) of 18 and 48?

Answer: LCM of 18 and 48 is 144

(One hundred forty-four)

Finding LCM for 18 and 48 using GCF's of these numbers

The first method to find LCM for numbers 18 and 48 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:

LCM = (Number1 × Number2) ÷ GCF

GCF of numbers 18 and 48 is 6, so

LCM = (18 × 48) ÷ 6

LCM = 864 ÷ 6

LCM = 144

Finding LCM for 18 and 48 by Listing Multiples

The second method to find LCM for numbers 18 and 48 is to list out the common multiples for both nubmers and pick the first which matching:

Multiples of 18: 18, 36, 54, 72, 90, 108, 126, 144, 162, 180

Multiples of 48: 48, 96, 144, 192, 240

So the LCM for 18 and 48 is 144

Finding LCM for 18 and 48 by Prime Factorization

Another method to find LCM for numbers 18 and 48 is to list all Prime Factors for both numbers and multiply the highest exponent prime factors:

All Prime Factors of 18: 2, 3, 3 (exponent form: 21, 32)

All Prime Factors of 48: 2, 2, 2, 2, 3 (exponent form: 24, 31)

24 × 32 = 144

See Also

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 18 and 48? (The answer is: 144). Select the first number (e.g. '18') and the second number (e.g. '48'). 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

LCM Table

Number 1Number 2LCM
34848
44848
548240
64848
748336
848
948144
1048240
1148528
1248
1348624
1448336
1548240
1648
1748816
1848
1948912
2048
2148336
2248528
23481104
2448
25481200
2648
2748432
2848336
29481392
3048240
31481488
3248

FAQ

What's the Least Common Multiple (LCM) of 18 and 48?

LCM of 18 and 48 is 144