What is the Least Common Multiple of 19624 and 19638?

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 19624 and 19638 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 19624 and 19638, than apply into the LCM equation.

GCF(19624,19638) = 2
LCM(19624,19638) = ( 19624 × 19638) / 2
LCM(19624,19638) = 385376112 / 2
LCM(19624,19638) = 192688056

Least Common Multiple (LCM) of 19624 and 19638 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 19624 and 19638. First we will calculate the prime factors of 19624 and 19638.

Prime Factorization of 19624

Prime Factorization of 19638

Now multiplying the highest exponent prime factors to calculate the LCM of 19624 and 19638.

LCM(19624,19638) = 2³ × 11¹ × 223¹ × 3² × 1091¹
LCM(19624,19638) = 192688056