What is the Least Common Multiple of 14970 and 14985?

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 14970 and 14985 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 14970 and 14985, than apply into the LCM equation.

GCF(14970,14985) = 15
LCM(14970,14985) = ( 14970 × 14985) / 15
LCM(14970,14985) = 224325450 / 15
LCM(14970,14985) = 14955030

Least Common Multiple (LCM) of 14970 and 14985 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 14970 and 14985. First we will calculate the prime factors of 14970 and 14985.

Prime Factorization of 14970

Prime Factorization of 14985

Now multiplying the highest exponent prime factors to calculate the LCM of 14970 and 14985.

LCM(14970,14985) = 2¹ × 3⁴ × 5¹ × 499¹ × 37¹
LCM(14970,14985) = 14955030