What is the Least Common Multiple of 75609 and 75628?

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 75609 and 75628 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 75609 and 75628, than apply into the LCM equation.

GCF(75609,75628) = 1
LCM(75609,75628) = ( 75609 × 75628) / 1
LCM(75609,75628) = 5718157452 / 1
LCM(75609,75628) = 5718157452

Least Common Multiple (LCM) of 75609 and 75628 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 75609 and 75628. First we will calculate the prime factors of 75609 and 75628.

Prime Factorization of 75609

Prime Factorization of 75628

Now multiplying the highest exponent prime factors to calculate the LCM of 75609 and 75628.

LCM(75609,75628) = 3² × 31¹ × 271¹ × 2² × 7¹ × 37¹ × 73¹
LCM(75609,75628) = 5718157452