What is the Least Common Multiple of 91956 and 91965?

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 91956 and 91965 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 91956 and 91965, than apply into the LCM equation.

GCF(91956,91965) = 3
LCM(91956,91965) = ( 91956 × 91965) / 3
LCM(91956,91965) = 8456733540 / 3
LCM(91956,91965) = 2818911180

Least Common Multiple (LCM) of 91956 and 91965 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 91956 and 91965. First we will calculate the prime factors of 91956 and 91965.

Prime Factorization of 91956

Prime Factorization of 91965

Now multiplying the highest exponent prime factors to calculate the LCM of 91956 and 91965.

LCM(91956,91965) = 2² × 3¹ × 79¹ × 97¹ × 5¹ × 6131¹
LCM(91956,91965) = 2818911180