What is the Least Common Multiple of 13624 and 13628?

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 13624 and 13628 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 13624 and 13628, than apply into the LCM equation.

GCF(13624,13628) = 4
LCM(13624,13628) = ( 13624 × 13628) / 4
LCM(13624,13628) = 185667872 / 4
LCM(13624,13628) = 46416968

Least Common Multiple (LCM) of 13624 and 13628 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 13624 and 13628. First we will calculate the prime factors of 13624 and 13628.

Prime Factorization of 13624

Prime Factorization of 13628

Now multiplying the highest exponent prime factors to calculate the LCM of 13624 and 13628.

LCM(13624,13628) = 2³ × 13¹ × 131¹ × 3407¹
LCM(13624,13628) = 46416968