What is the Least Common Multiple of 54909 and 54915?

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 54909 and 54915 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 54909 and 54915, than apply into the LCM equation.

GCF(54909,54915) = 3
LCM(54909,54915) = ( 54909 × 54915) / 3
LCM(54909,54915) = 3015327735 / 3
LCM(54909,54915) = 1005109245

Least Common Multiple (LCM) of 54909 and 54915 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 54909 and 54915. First we will calculate the prime factors of 54909 and 54915.

Prime Factorization of 54909

Prime Factorization of 54915

Now multiplying the highest exponent prime factors to calculate the LCM of 54909 and 54915.

LCM(54909,54915) = 3² × 6101¹ × 5¹ × 7¹ × 523¹
LCM(54909,54915) = 1005109245