What is the Least Common Multiple of 59488 and 59498?

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 59498 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 59498, than apply into the LCM equation.

GCF(59488,59498) = 2
LCM(59488,59498) = ( 59488 × 59498) / 2
LCM(59488,59498) = 3539417024 / 2
LCM(59488,59498) = 1769708512

Least Common Multiple (LCM) of 59488 and 59498 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 59488 and 59498. First we will calculate the prime factors of 59488 and 59498.

Prime Factorization of 59488

Prime Factorization of 59498

Now multiplying the highest exponent prime factors to calculate the LCM of 59488 and 59498.

LCM(59488,59498) = 2⁵ × 11¹ × 13² × 71¹ × 419¹
LCM(59488,59498) = 1769708512