What is the Least Common Multiple of 61496 and 61501?

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 61496 and 61501 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 61496 and 61501, than apply into the LCM equation.

GCF(61496,61501) = 1
LCM(61496,61501) = ( 61496 × 61501) / 1
LCM(61496,61501) = 3782065496 / 1
LCM(61496,61501) = 3782065496

Least Common Multiple (LCM) of 61496 and 61501 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 61496 and 61501. First we will calculate the prime factors of 61496 and 61501.

Prime Factorization of 61496

Prime Factorization of 61501

Now multiplying the highest exponent prime factors to calculate the LCM of 61496 and 61501.

LCM(61496,61501) = 2³ × 7687¹ × 11¹ × 5591¹
LCM(61496,61501) = 3782065496