What is the Least Common Multiple of 54609 and 54615?

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 54609 and 54615 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 54609 and 54615, than apply into the LCM equation.

GCF(54609,54615) = 3
LCM(54609,54615) = ( 54609 × 54615) / 3
LCM(54609,54615) = 2982470535 / 3
LCM(54609,54615) = 994156845

Least Common Multiple (LCM) of 54609 and 54615 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 54609 and 54615. First we will calculate the prime factors of 54609 and 54615.

Prime Factorization of 54609

Prime Factorization of 54615

Now multiplying the highest exponent prime factors to calculate the LCM of 54609 and 54615.

LCM(54609,54615) = 3¹ × 109¹ × 167¹ × 5¹ × 11¹ × 331¹
LCM(54609,54615) = 994156845