What is the Least Common Multiple of 45900 and 45915?

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 45900 and 45915 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 45900 and 45915, than apply into the LCM equation.

GCF(45900,45915) = 15
LCM(45900,45915) = ( 45900 × 45915) / 15
LCM(45900,45915) = 2107498500 / 15
LCM(45900,45915) = 140499900

Least Common Multiple (LCM) of 45900 and 45915 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 45900 and 45915. First we will calculate the prime factors of 45900 and 45915.

Prime Factorization of 45900

Prime Factorization of 45915

Now multiplying the highest exponent prime factors to calculate the LCM of 45900 and 45915.

LCM(45900,45915) = 2² × 3³ × 5² × 17¹ × 3061¹
LCM(45900,45915) = 140499900