What is the Least Common Multiple of 50624 and 50638?

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 50624 and 50638 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 50624 and 50638, than apply into the LCM equation.

GCF(50624,50638) = 14
LCM(50624,50638) = ( 50624 × 50638) / 14
LCM(50624,50638) = 2563498112 / 14
LCM(50624,50638) = 183107008

Least Common Multiple (LCM) of 50624 and 50638 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 50624 and 50638. First we will calculate the prime factors of 50624 and 50638.

Prime Factorization of 50624

Prime Factorization of 50638

Now multiplying the highest exponent prime factors to calculate the LCM of 50624 and 50638.

LCM(50624,50638) = 2⁶ × 7¹ × 113¹ × 3617¹
LCM(50624,50638) = 183107008