What is the Least Common Multiple of 91878 and 91895?

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 91878 and 91895 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 91878 and 91895, than apply into the LCM equation.

GCF(91878,91895) = 1
LCM(91878,91895) = ( 91878 × 91895) / 1
LCM(91878,91895) = 8443128810 / 1
LCM(91878,91895) = 8443128810

Least Common Multiple (LCM) of 91878 and 91895 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 91878 and 91895. First we will calculate the prime factors of 91878 and 91895.

Prime Factorization of 91878

Prime Factorization of 91895

Now multiplying the highest exponent prime factors to calculate the LCM of 91878 and 91895.

LCM(91878,91895) = 2¹ × 3¹ × 15313¹ × 5¹ × 18379¹
LCM(91878,91895) = 8443128810