What is the Least Common Multiple of 75546 and 75561?

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 75546 and 75561 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 75546 and 75561, than apply into the LCM equation.

GCF(75546,75561) = 3
LCM(75546,75561) = ( 75546 × 75561) / 3
LCM(75546,75561) = 5708331306 / 3
LCM(75546,75561) = 1902777102

Least Common Multiple (LCM) of 75546 and 75561 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 75546 and 75561. First we will calculate the prime factors of 75546 and 75561.

Prime Factorization of 75546

Prime Factorization of 75561

Now multiplying the highest exponent prime factors to calculate the LCM of 75546 and 75561.

LCM(75546,75561) = 2¹ × 3³ × 1399¹ × 89¹ × 283¹
LCM(75546,75561) = 1902777102