LCM for 78 and 90

What's the Least Common Multiple (LCM) of 78 and 90?

Answer: LCM of 78 and 90 is 1,170

(One thousand, one hundred seventy)

Finding LCM for 78 and 90 using GCF's of these numbers

The first method to find LCM for numbers 78 and 90 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:

LCM = (Number1 × Number2) ÷ GCF

GCF of numbers 78 and 90 is 6, so

LCM = (78 × 90) ÷ 6

LCM = 7020 ÷ 6

LCM = 1170

Finding LCM for 78 and 90 by Listing Multiples

The second method to find LCM for numbers 78 and 90 is to list out the common multiples for both nubmers and pick the first which matching:

Multiples of 78: 78, 156, 234, 312, 390, 468, 546, 624, 702, 780, 858, 936, 1014, 1092, 1170, 1248, 1326

Multiples of 90: 90, 180, 270, 360, 450, 540, 630, 720, 810, 900, 990, 1080, 1170, 1260, 1350

So the LCM for 78 and 90 is 1170

Finding LCM for 78 and 90 by Prime Factorization

Another method to find LCM for numbers 78 and 90 is to list all Prime Factors for both numbers and multiply the highest exponent prime factors:

All Prime Factors of 78: 2, 3, 13 (exponent form: 21, 31, 131)

All Prime Factors of 90: 2, 3, 3, 5 (exponent form: 21, 32, 51)

21 × 32 × 131 × 51 = 1170

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 78 and 90? (The answer is: 1170). Select the first number (e.g. '78') and the second number (e.g. '90'). 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
6390630
64902880
65901170
6690990
67906030
68903060
69902070
7090
71906390
7290
73906570
74903330
7590
76903420
77906930
7890
79907110
8090
8190810
82903690
83907470
8490
85901530
86903870
87902610
88903960
89908010
909090
91908190
92904140

FAQ

What's the Least Common Multiple (LCM) of 78 and 90?

LCM of 78 and 90 is 1,170