What is the Least Common Multiple of 91950 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 91950 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 91950 and 91965, than apply into the LCM equation.

GCF(91950,91965) = 15
LCM(91950,91965) = ( 91950 × 91965) / 15
LCM(91950,91965) = 8456181750 / 15
LCM(91950,91965) = 563745450

Least Common Multiple (LCM) of 91950 and 91965 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 91950 and 91965. First we will calculate the prime factors of 91950 and 91965.

Prime Factorization of 91950

Prime Factorization of 91965

Now multiplying the highest exponent prime factors to calculate the LCM of 91950 and 91965.

LCM(91950,91965) = 2¹ × 3¹ × 5² × 613¹ × 6131¹
LCM(91950,91965) = 563745450