What is the Least Common Multiple of 57624 and 57630?

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 57624 and 57630 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 57624 and 57630, than apply into the LCM equation.

GCF(57624,57630) = 6
LCM(57624,57630) = ( 57624 × 57630) / 6
LCM(57624,57630) = 3320871120 / 6
LCM(57624,57630) = 553478520

Least Common Multiple (LCM) of 57624 and 57630 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 57624 and 57630. First we will calculate the prime factors of 57624 and 57630.

Prime Factorization of 57624

Prime Factorization of 57630

Now multiplying the highest exponent prime factors to calculate the LCM of 57624 and 57630.

LCM(57624,57630) = 2³ × 3¹ × 7⁴ × 5¹ × 17¹ × 113¹
LCM(57624,57630) = 553478520