What is the Least Common Multiple of 75609 and 75621?

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 75621 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 75621, than apply into the LCM equation.

GCF(75609,75621) = 3
LCM(75609,75621) = ( 75609 × 75621) / 3
LCM(75609,75621) = 5717628189 / 3
LCM(75609,75621) = 1905876063

Least Common Multiple (LCM) of 75609 and 75621 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 75609 and 75621. First we will calculate the prime factors of 75609 and 75621.

Prime Factorization of 75609

Prime Factorization of 75621

Now multiplying the highest exponent prime factors to calculate the LCM of 75609 and 75621.

LCM(75609,75621) = 3² × 31¹ × 271¹ × 7¹ × 13¹ × 277¹
LCM(75609,75621) = 1905876063