What is the Least Common Multiple of 96052 and 96064?

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 96064 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 96064, than apply into the LCM equation.

GCF(96052,96064) = 4
LCM(96052,96064) = ( 96052 × 96064) / 4
LCM(96052,96064) = 9227139328 / 4
LCM(96052,96064) = 2306784832

Least Common Multiple (LCM) of 96052 and 96064 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 96052 and 96064. First we will calculate the prime factors of 96052 and 96064.

Prime Factorization of 96052

Prime Factorization of 96064

Now multiplying the highest exponent prime factors to calculate the LCM of 96052 and 96064.

LCM(96052,96064) = 2⁶ × 11¹ × 37¹ × 59¹ × 19¹ × 79¹
LCM(96052,96064) = 2306784832