What is the Least Common Multiple of 69609 and 69624?

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 69609 and 69624 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 69609 and 69624, than apply into the LCM equation.

GCF(69609,69624) = 3
LCM(69609,69624) = ( 69609 × 69624) / 3
LCM(69609,69624) = 4846457016 / 3
LCM(69609,69624) = 1615485672

Least Common Multiple (LCM) of 69609 and 69624 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 69609 and 69624. First we will calculate the prime factors of 69609 and 69624.

Prime Factorization of 69609

Prime Factorization of 69624

Now multiplying the highest exponent prime factors to calculate the LCM of 69609 and 69624.

LCM(69609,69624) = 3² × 23203¹ × 2³ × 967¹
LCM(69609,69624) = 1615485672