What is the Least Common Multiple of 5625 and 5638?

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 5625 and 5638 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5625 and 5638, than apply into the LCM equation.

GCF(5625,5638) = 1
LCM(5625,5638) = ( 5625 × 5638) / 1
LCM(5625,5638) = 31713750 / 1
LCM(5625,5638) = 31713750

Least Common Multiple (LCM) of 5625 and 5638 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 5625 and 5638. First we will calculate the prime factors of 5625 and 5638.

Prime Factorization of 5625

Prime Factorization of 5638

Now multiplying the highest exponent prime factors to calculate the LCM of 5625 and 5638.

LCM(5625,5638) = 3² × 5⁴ × 2¹ × 2819¹
LCM(5625,5638) = 31713750