What is the Least Common Multiple of 14973 and 14988?

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 14973 and 14988 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 14973 and 14988, than apply into the LCM equation.

GCF(14973,14988) = 3
LCM(14973,14988) = ( 14973 × 14988) / 3
LCM(14973,14988) = 224415324 / 3
LCM(14973,14988) = 74805108

Least Common Multiple (LCM) of 14973 and 14988 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 14973 and 14988. First we will calculate the prime factors of 14973 and 14988.

Prime Factorization of 14973

Prime Factorization of 14988

Now multiplying the highest exponent prime factors to calculate the LCM of 14973 and 14988.

LCM(14973,14988) = 3¹ × 7¹ × 23¹ × 31¹ × 2² × 1249¹
LCM(14973,14988) = 74805108