What is the Least Common Multiple of 91348 and 91352?

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 91348 and 91352 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 91348 and 91352, than apply into the LCM equation.

GCF(91348,91352) = 4
LCM(91348,91352) = ( 91348 × 91352) / 4
LCM(91348,91352) = 8344822496 / 4
LCM(91348,91352) = 2086205624

Least Common Multiple (LCM) of 91348 and 91352 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 91348 and 91352. First we will calculate the prime factors of 91348 and 91352.

Prime Factorization of 91348

Prime Factorization of 91352

Now multiplying the highest exponent prime factors to calculate the LCM of 91348 and 91352.

LCM(91348,91352) = 2³ × 41¹ × 557¹ × 19¹ × 601¹
LCM(91348,91352) = 2086205624