What is the Least Common Multiple of 91974 and 91983?

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 91974 and 91983 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 91974 and 91983, than apply into the LCM equation.

GCF(91974,91983) = 3
LCM(91974,91983) = ( 91974 × 91983) / 3
LCM(91974,91983) = 8460044442 / 3
LCM(91974,91983) = 2820014814

Least Common Multiple (LCM) of 91974 and 91983 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 91974 and 91983. First we will calculate the prime factors of 91974 and 91983.

Prime Factorization of 91974

Prime Factorization of 91983

Now multiplying the highest exponent prime factors to calculate the LCM of 91974 and 91983.

LCM(91974,91983) = 2¹ × 3¹ × 15329¹ × 30661¹
LCM(91974,91983) = 2820014814