What is the Least Common Multiple of 79088 and 79097?

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 79088 and 79097 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 79088 and 79097, than apply into the LCM equation.

GCF(79088,79097) = 1
LCM(79088,79097) = ( 79088 × 79097) / 1
LCM(79088,79097) = 6255623536 / 1
LCM(79088,79097) = 6255623536

Least Common Multiple (LCM) of 79088 and 79097 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 79088 and 79097. First we will calculate the prime factors of 79088 and 79097.

Prime Factorization of 79088

Prime Factorization of 79097

Now multiplying the highest exponent prime factors to calculate the LCM of 79088 and 79097.

LCM(79088,79097) = 2⁴ × 4943¹ × 19¹ × 23¹ × 181¹
LCM(79088,79097) = 6255623536