What is the Least Common Multiple of 59136 and 59148?

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 59136 and 59148 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 59136 and 59148, than apply into the LCM equation.

GCF(59136,59148) = 12
LCM(59136,59148) = ( 59136 × 59148) / 12
LCM(59136,59148) = 3497776128 / 12
LCM(59136,59148) = 291481344

Least Common Multiple (LCM) of 59136 and 59148 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 59136 and 59148. First we will calculate the prime factors of 59136 and 59148.

Prime Factorization of 59136

Prime Factorization of 59148

Now multiplying the highest exponent prime factors to calculate the LCM of 59136 and 59148.

LCM(59136,59148) = 2⁸ × 3² × 7¹ × 11¹ × 31¹ × 53¹
LCM(59136,59148) = 291481344