What is the Least Common Multiple of 5625 and 5633?

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 5633 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 5633, than apply into the LCM equation.

GCF(5625,5633) = 1
LCM(5625,5633) = ( 5625 × 5633) / 1
LCM(5625,5633) = 31685625 / 1
LCM(5625,5633) = 31685625

Least Common Multiple (LCM) of 5625 and 5633 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 5625 and 5633. First we will calculate the prime factors of 5625 and 5633.

Prime Factorization of 5625

Prime Factorization of 5633

Now multiplying the highest exponent prime factors to calculate the LCM of 5625 and 5633.

LCM(5625,5633) = 3² × 5⁴ × 43¹ × 131¹
LCM(5625,5633) = 31685625