What is the Least Common Multiple of 59488 and 59492?

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 59488 and 59492 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 59488 and 59492, than apply into the LCM equation.

GCF(59488,59492) = 4
LCM(59488,59492) = ( 59488 × 59492) / 4
LCM(59488,59492) = 3539060096 / 4
LCM(59488,59492) = 884765024

Least Common Multiple (LCM) of 59488 and 59492 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 59488 and 59492. First we will calculate the prime factors of 59488 and 59492.

Prime Factorization of 59488

Prime Factorization of 59492

Now multiplying the highest exponent prime factors to calculate the LCM of 59488 and 59492.

LCM(59488,59492) = 2⁵ × 11¹ × 13² × 107¹ × 139¹
LCM(59488,59492) = 884765024