What is the Least Common Multiple of 33614 and 33624?

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 33614 and 33624 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 33614 and 33624, than apply into the LCM equation.

GCF(33614,33624) = 2
LCM(33614,33624) = ( 33614 × 33624) / 2
LCM(33614,33624) = 1130237136 / 2
LCM(33614,33624) = 565118568

Least Common Multiple (LCM) of 33614 and 33624 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 33614 and 33624. First we will calculate the prime factors of 33614 and 33624.

Prime Factorization of 33614

Prime Factorization of 33624

Now multiplying the highest exponent prime factors to calculate the LCM of 33614 and 33624.

LCM(33614,33624) = 2³ × 7⁵ × 3² × 467¹
LCM(33614,33624) = 565118568