What is the Least Common Multiple of 59588 and 59598?

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 59588 and 59598 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 59588 and 59598, than apply into the LCM equation.

GCF(59588,59598) = 2
LCM(59588,59598) = ( 59588 × 59598) / 2
LCM(59588,59598) = 3551325624 / 2
LCM(59588,59598) = 1775662812

Least Common Multiple (LCM) of 59588 and 59598 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 59588 and 59598. First we will calculate the prime factors of 59588 and 59598.

Prime Factorization of 59588

Prime Factorization of 59598

Now multiplying the highest exponent prime factors to calculate the LCM of 59588 and 59598.

LCM(59588,59598) = 2² × 14897¹ × 3² × 7¹ × 11¹ × 43¹
LCM(59588,59598) = 1775662812