What is the Least Common Multiple of 74160 and 74164?

Least common multiple or lowest common denominator (lcd) can be calculated in two way; with the LCM formula calculation of greatest common factor (GCF), or multiplying the prime factors with the highest exponent factor.

Least Common Multiple of 74160 and 74164 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 74160 and 74164, than apply into the LCM equation.

GCF(74160,74164) = 4
LCM(74160,74164) = ( 74160 × 74164) / 4
LCM(74160,74164) = 5500002240 / 4
LCM(74160,74164) = 1375000560

Least Common Multiple (LCM) of 74160 and 74164 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 74160 and 74164. First we will calculate the prime factors of 74160 and 74164.

Prime Factorization of 74160

Prime Factorization of 74164

Now multiplying the highest exponent prime factors to calculate the LCM of 74160 and 74164.

LCM(74160,74164) = 2⁴ × 3² × 5¹ × 103¹ × 18541¹
LCM(74160,74164) = 1375000560