What is the Least Common Multiple of 60596 and 60614?

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 60596 and 60614 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 60596 and 60614, than apply into the LCM equation.

GCF(60596,60614) = 2
LCM(60596,60614) = ( 60596 × 60614) / 2
LCM(60596,60614) = 3672965944 / 2
LCM(60596,60614) = 1836482972

Least Common Multiple (LCM) of 60596 and 60614 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 60596 and 60614. First we will calculate the prime factors of 60596 and 60614.

Prime Factorization of 60596

Prime Factorization of 60614

Now multiplying the highest exponent prime factors to calculate the LCM of 60596 and 60614.

LCM(60596,60614) = 2² × 15149¹ × 30307¹
LCM(60596,60614) = 1836482972