What is the Least Common Multiple of 75624 and 75630?

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 75624 and 75630 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 75624 and 75630, than apply into the LCM equation.

GCF(75624,75630) = 6
LCM(75624,75630) = ( 75624 × 75630) / 6
LCM(75624,75630) = 5719443120 / 6
LCM(75624,75630) = 953240520

Least Common Multiple (LCM) of 75624 and 75630 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 75624 and 75630. First we will calculate the prime factors of 75624 and 75630.

Prime Factorization of 75624

Prime Factorization of 75630

Now multiplying the highest exponent prime factors to calculate the LCM of 75624 and 75630.

LCM(75624,75630) = 2³ × 3¹ × 23¹ × 137¹ × 5¹ × 2521¹
LCM(75624,75630) = 953240520