What is the Least Common Multiple of 75624 and 75639?

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 75639 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 75639, than apply into the LCM equation.

GCF(75624,75639) = 3
LCM(75624,75639) = ( 75624 × 75639) / 3
LCM(75624,75639) = 5720123736 / 3
LCM(75624,75639) = 1906707912

Least Common Multiple (LCM) of 75624 and 75639 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 75624 and 75639. First we will calculate the prime factors of 75624 and 75639.

Prime Factorization of 75624

Prime Factorization of 75639

Now multiplying the highest exponent prime factors to calculate the LCM of 75624 and 75639.

LCM(75624,75639) = 2³ × 3¹ × 23¹ × 137¹ × 19¹ × 1327¹
LCM(75624,75639) = 1906707912