What is the Least Common Multiple of 59598 and 59612?

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 59598 and 59612 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 59598 and 59612, than apply into the LCM equation.

GCF(59598,59612) = 14
LCM(59598,59612) = ( 59598 × 59612) / 14
LCM(59598,59612) = 3552755976 / 14
LCM(59598,59612) = 253768284

Least Common Multiple (LCM) of 59598 and 59612 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 59598 and 59612. First we will calculate the prime factors of 59598 and 59612.

Prime Factorization of 59598

Prime Factorization of 59612

Now multiplying the highest exponent prime factors to calculate the LCM of 59598 and 59612.

LCM(59598,59612) = 2² × 3² × 7¹ × 11¹ × 43¹ × 2129¹
LCM(59598,59612) = 253768284