What is the Least Common Multiple of 75546 and 75555?

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 75555 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 75555, than apply into the LCM equation.

GCF(75546,75555) = 9
LCM(75546,75555) = ( 75546 × 75555) / 9
LCM(75546,75555) = 5707878030 / 9
LCM(75546,75555) = 634208670

Least Common Multiple (LCM) of 75546 and 75555 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 75546 and 75555. First we will calculate the prime factors of 75546 and 75555.

Prime Factorization of 75546

Prime Factorization of 75555

Now multiplying the highest exponent prime factors to calculate the LCM of 75546 and 75555.

LCM(75546,75555) = 2¹ × 3³ × 1399¹ × 5¹ × 23¹ × 73¹
LCM(75546,75555) = 634208670