What is the Least Common Multiple of 92889 and 92895?

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 92889 and 92895 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 92889 and 92895, than apply into the LCM equation.

GCF(92889,92895) = 3
LCM(92889,92895) = ( 92889 × 92895) / 3
LCM(92889,92895) = 8628923655 / 3
LCM(92889,92895) = 2876307885

Least Common Multiple (LCM) of 92889 and 92895 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 92889 and 92895. First we will calculate the prime factors of 92889 and 92895.

Prime Factorization of 92889

Prime Factorization of 92895

Now multiplying the highest exponent prime factors to calculate the LCM of 92889 and 92895.

LCM(92889,92895) = 3² × 10321¹ × 5¹ × 11¹ × 563¹
LCM(92889,92895) = 2876307885