What is the Least Common Multiple of 5625 and 5642?

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 5642 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 5642, than apply into the LCM equation.

GCF(5625,5642) = 1
LCM(5625,5642) = ( 5625 × 5642) / 1
LCM(5625,5642) = 31736250 / 1
LCM(5625,5642) = 31736250

Least Common Multiple (LCM) of 5625 and 5642 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 5625 and 5642. First we will calculate the prime factors of 5625 and 5642.

Prime Factorization of 5625

Prime Factorization of 5642

Now multiplying the highest exponent prime factors to calculate the LCM of 5625 and 5642.

LCM(5625,5642) = 3² × 5⁴ × 2¹ × 7¹ × 13¹ × 31¹
LCM(5625,5642) = 31736250