What is the Least Common Multiple of 79332 and 79351?

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 79332 and 79351 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 79332 and 79351, than apply into the LCM equation.

GCF(79332,79351) = 1
LCM(79332,79351) = ( 79332 × 79351) / 1
LCM(79332,79351) = 6295073532 / 1
LCM(79332,79351) = 6295073532

Least Common Multiple (LCM) of 79332 and 79351 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 79332 and 79351. First we will calculate the prime factors of 79332 and 79351.

Prime Factorization of 79332

Prime Factorization of 79351

Now multiplying the highest exponent prime factors to calculate the LCM of 79332 and 79351.

LCM(79332,79351) = 2² × 3¹ × 11¹ × 601¹ × 73¹ × 1087¹
LCM(79332,79351) = 6295073532