What is the Least Common Multiple of 79046 and 79057?

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 79046 and 79057 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 79046 and 79057, than apply into the LCM equation.

GCF(79046,79057) = 11
LCM(79046,79057) = ( 79046 × 79057) / 11
LCM(79046,79057) = 6249139622 / 11
LCM(79046,79057) = 568103602

Least Common Multiple (LCM) of 79046 and 79057 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 79046 and 79057. First we will calculate the prime factors of 79046 and 79057.

Prime Factorization of 79046

Prime Factorization of 79057

Now multiplying the highest exponent prime factors to calculate the LCM of 79046 and 79057.

LCM(79046,79057) = 2¹ × 11¹ × 3593¹ × 7187¹
LCM(79046,79057) = 568103602