What is the Least Common Multiple of 96052 and 96061?

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 96052 and 96061 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 96052 and 96061, than apply into the LCM equation.

GCF(96052,96061) = 1
LCM(96052,96061) = ( 96052 × 96061) / 1
LCM(96052,96061) = 9226851172 / 1
LCM(96052,96061) = 9226851172

Least Common Multiple (LCM) of 96052 and 96061 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 96052 and 96061. First we will calculate the prime factors of 96052 and 96061.

Prime Factorization of 96052

Prime Factorization of 96061

Now multiplying the highest exponent prime factors to calculate the LCM of 96052 and 96061.

LCM(96052,96061) = 2² × 11¹ × 37¹ × 59¹ × 7¹ × 13723¹
LCM(96052,96061) = 9226851172