What is the Least Common Multiple of 65609 and 65624?

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 65609 and 65624 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 65609 and 65624, than apply into the LCM equation.

GCF(65609,65624) = 1
LCM(65609,65624) = ( 65609 × 65624) / 1
LCM(65609,65624) = 4305525016 / 1
LCM(65609,65624) = 4305525016

Least Common Multiple (LCM) of 65609 and 65624 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 65609 and 65624. First we will calculate the prime factors of 65609 and 65624.

Prime Factorization of 65609

Prime Factorization of 65624

Now multiplying the highest exponent prime factors to calculate the LCM of 65609 and 65624.

LCM(65609,65624) = 65609¹ × 2³ × 13¹ × 631¹
LCM(65609,65624) = 4305525016