What is the Least Common Multiple of 75621 and 75641?

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 75621 and 75641 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 75621 and 75641, than apply into the LCM equation.

GCF(75621,75641) = 1
LCM(75621,75641) = ( 75621 × 75641) / 1
LCM(75621,75641) = 5720048061 / 1
LCM(75621,75641) = 5720048061

Least Common Multiple (LCM) of 75621 and 75641 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 75621 and 75641. First we will calculate the prime factors of 75621 and 75641.

Prime Factorization of 75621

Prime Factorization of 75641

Now multiplying the highest exponent prime factors to calculate the LCM of 75621 and 75641.

LCM(75621,75641) = 3¹ × 7¹ × 13¹ × 277¹ × 75641¹
LCM(75621,75641) = 5720048061