What is the Least Common Multiple of 63624 and 63629?

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 63624 and 63629 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 63624 and 63629, than apply into the LCM equation.

GCF(63624,63629) = 1
LCM(63624,63629) = ( 63624 × 63629) / 1
LCM(63624,63629) = 4048331496 / 1
LCM(63624,63629) = 4048331496

Least Common Multiple (LCM) of 63624 and 63629 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 63624 and 63629. First we will calculate the prime factors of 63624 and 63629.

Prime Factorization of 63624

Prime Factorization of 63629

Now multiplying the highest exponent prime factors to calculate the LCM of 63624 and 63629.

LCM(63624,63629) = 2³ × 3¹ × 11¹ × 241¹ × 63629¹
LCM(63624,63629) = 4048331496