What is the Least Common Multiple of 79302 and 79307?

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 79302 and 79307 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 79302 and 79307, than apply into the LCM equation.

GCF(79302,79307) = 1
LCM(79302,79307) = ( 79302 × 79307) / 1
LCM(79302,79307) = 6289203714 / 1
LCM(79302,79307) = 6289203714

Least Common Multiple (LCM) of 79302 and 79307 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 79302 and 79307. First we will calculate the prime factors of 79302 and 79307.

Prime Factorization of 79302

Prime Factorization of 79307

Now multiplying the highest exponent prime factors to calculate the LCM of 79302 and 79307.

LCM(79302,79307) = 2¹ × 3¹ × 13217¹ × 71¹ × 1117¹
LCM(79302,79307) = 6289203714