What is the Least Common Multiple of 19604 and 19624?

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 19604 and 19624 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 19604 and 19624, than apply into the LCM equation.

GCF(19604,19624) = 4
LCM(19604,19624) = ( 19604 × 19624) / 4
LCM(19604,19624) = 384708896 / 4
LCM(19604,19624) = 96177224

Least Common Multiple (LCM) of 19604 and 19624 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 19604 and 19624. First we will calculate the prime factors of 19604 and 19624.

Prime Factorization of 19604

Prime Factorization of 19624

Now multiplying the highest exponent prime factors to calculate the LCM of 19604 and 19624.

LCM(19604,19624) = 2³ × 13² × 29¹ × 11¹ × 223¹
LCM(19604,19624) = 96177224