What is the Least Common Multiple of 52624 and 52635?

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 52624 and 52635 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 52624 and 52635, than apply into the LCM equation.

GCF(52624,52635) = 11
LCM(52624,52635) = ( 52624 × 52635) / 11
LCM(52624,52635) = 2769864240 / 11
LCM(52624,52635) = 251805840

Least Common Multiple (LCM) of 52624 and 52635 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 52624 and 52635. First we will calculate the prime factors of 52624 and 52635.

Prime Factorization of 52624

Prime Factorization of 52635

Now multiplying the highest exponent prime factors to calculate the LCM of 52624 and 52635.

LCM(52624,52635) = 2⁴ × 11² × 13¹ × 23¹ × 3¹ × 5¹ × 29¹
LCM(52624,52635) = 251805840