What is the Least Common Multiple of 79296 and 79302?

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 79296 and 79302 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 79296 and 79302, than apply into the LCM equation.

GCF(79296,79302) = 6
LCM(79296,79302) = ( 79296 × 79302) / 6
LCM(79296,79302) = 6288331392 / 6
LCM(79296,79302) = 1048055232

Least Common Multiple (LCM) of 79296 and 79302 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 79296 and 79302. First we will calculate the prime factors of 79296 and 79302.

Prime Factorization of 79296

Prime Factorization of 79302

Now multiplying the highest exponent prime factors to calculate the LCM of 79296 and 79302.

LCM(79296,79302) = 2⁶ × 3¹ × 7¹ × 59¹ × 13217¹
LCM(79296,79302) = 1048055232