What is the Least Common Multiple of 90689 and 90707?

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 90689 and 90707 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 90689 and 90707, than apply into the LCM equation.

GCF(90689,90707) = 1
LCM(90689,90707) = ( 90689 × 90707) / 1
LCM(90689,90707) = 8226127123 / 1
LCM(90689,90707) = 8226127123

Least Common Multiple (LCM) of 90689 and 90707 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 90689 and 90707. First we will calculate the prime factors of 90689 and 90707.

Prime Factorization of 90689

Prime Factorization of 90707

Now multiplying the highest exponent prime factors to calculate the LCM of 90689 and 90707.

LCM(90689,90707) = 23¹ × 3943¹ × 61¹ × 1487¹
LCM(90689,90707) = 8226127123