What is the Least Common Multiple of 6900 and 6915?

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 6900 and 6915 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6900 and 6915, than apply into the LCM equation.

GCF(6900,6915) = 15
LCM(6900,6915) = ( 6900 × 6915) / 15
LCM(6900,6915) = 47713500 / 15
LCM(6900,6915) = 3180900

Least Common Multiple (LCM) of 6900 and 6915 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 6900 and 6915. First we will calculate the prime factors of 6900 and 6915.

Prime Factorization of 6900

Prime Factorization of 6915

Now multiplying the highest exponent prime factors to calculate the LCM of 6900 and 6915.

LCM(6900,6915) = 2² × 3¹ × 5² × 23¹ × 461¹
LCM(6900,6915) = 3180900