What is the Least Common Multiple of 23596 and 23610?

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 23596 and 23610 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 23596 and 23610, than apply into the LCM equation.

GCF(23596,23610) = 2
LCM(23596,23610) = ( 23596 × 23610) / 2
LCM(23596,23610) = 557101560 / 2
LCM(23596,23610) = 278550780

Least Common Multiple (LCM) of 23596 and 23610 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 23596 and 23610. First we will calculate the prime factors of 23596 and 23610.

Prime Factorization of 23596

Prime Factorization of 23610

Now multiplying the highest exponent prime factors to calculate the LCM of 23596 and 23610.

LCM(23596,23610) = 2² × 17¹ × 347¹ × 3¹ × 5¹ × 787¹
LCM(23596,23610) = 278550780