What is the Least Common Multiple of 59488 and 59501?

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 59501 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 59501, than apply into the LCM equation.

GCF(59488,59501) = 13
LCM(59488,59501) = ( 59488 × 59501) / 13
LCM(59488,59501) = 3539595488 / 13
LCM(59488,59501) = 272276576

Least Common Multiple (LCM) of 59488 and 59501 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 59488 and 59501. First we will calculate the prime factors of 59488 and 59501.

Prime Factorization of 59488

Prime Factorization of 59501

Now multiplying the highest exponent prime factors to calculate the LCM of 59488 and 59501.

LCM(59488,59501) = 2⁵ × 11¹ × 13² × 23¹ × 199¹
LCM(59488,59501) = 272276576