What is the Least Common Multiple of 75604 and 75624?

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 75604 and 75624 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 75604 and 75624, than apply into the LCM equation.

GCF(75604,75624) = 4
LCM(75604,75624) = ( 75604 × 75624) / 4
LCM(75604,75624) = 5717476896 / 4
LCM(75604,75624) = 1429369224

Least Common Multiple (LCM) of 75604 and 75624 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 75604 and 75624. First we will calculate the prime factors of 75604 and 75624.

Prime Factorization of 75604

Prime Factorization of 75624

Now multiplying the highest exponent prime factors to calculate the LCM of 75604 and 75624.

LCM(75604,75624) = 2³ × 41¹ × 461¹ × 3¹ × 23¹ × 137¹
LCM(75604,75624) = 1429369224