What is the Least Common Multiple of 13624 and 13632?

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 13632 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 13632, than apply into the LCM equation.

GCF(13624,13632) = 8
LCM(13624,13632) = ( 13624 × 13632) / 8
LCM(13624,13632) = 185722368 / 8
LCM(13624,13632) = 23215296

Least Common Multiple (LCM) of 13624 and 13632 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 13624 and 13632. First we will calculate the prime factors of 13624 and 13632.

Prime Factorization of 13624

Prime Factorization of 13632

Now multiplying the highest exponent prime factors to calculate the LCM of 13624 and 13632.

LCM(13624,13632) = 2⁶ × 13¹ × 131¹ × 3¹ × 71¹
LCM(13624,13632) = 23215296