What is the Least Common Multiple of 91960 and 91966?

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 91960 and 91966 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 91960 and 91966, than apply into the LCM equation.

GCF(91960,91966) = 2
LCM(91960,91966) = ( 91960 × 91966) / 2
LCM(91960,91966) = 8457193360 / 2
LCM(91960,91966) = 4228596680

Least Common Multiple (LCM) of 91960 and 91966 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 91960 and 91966. First we will calculate the prime factors of 91960 and 91966.

Prime Factorization of 91960

Prime Factorization of 91966

Now multiplying the highest exponent prime factors to calculate the LCM of 91960 and 91966.

LCM(91960,91966) = 2³ × 5¹ × 11² × 19¹ × 7¹ × 6569¹
LCM(91960,91966) = 4228596680