What is the Least Common Multiple of 74164 and 74179?

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 74164 and 74179 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 74164 and 74179, than apply into the LCM equation.

GCF(74164,74179) = 1
LCM(74164,74179) = ( 74164 × 74179) / 1
LCM(74164,74179) = 5501411356 / 1
LCM(74164,74179) = 5501411356

Least Common Multiple (LCM) of 74164 and 74179 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 74164 and 74179. First we will calculate the prime factors of 74164 and 74179.

Prime Factorization of 74164

Prime Factorization of 74179

Now multiplying the highest exponent prime factors to calculate the LCM of 74164 and 74179.

LCM(74164,74179) = 2² × 18541¹ × 7¹ × 10597¹
LCM(74164,74179) = 5501411356