What is the Least Common Multiple of 14906 and 14920?

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 14906 and 14920 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 14906 and 14920, than apply into the LCM equation.

GCF(14906,14920) = 2
LCM(14906,14920) = ( 14906 × 14920) / 2
LCM(14906,14920) = 222397520 / 2
LCM(14906,14920) = 111198760

Least Common Multiple (LCM) of 14906 and 14920 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 14906 and 14920. First we will calculate the prime factors of 14906 and 14920.

Prime Factorization of 14906

Prime Factorization of 14920

Now multiplying the highest exponent prime factors to calculate the LCM of 14906 and 14920.

LCM(14906,14920) = 2³ × 29¹ × 257¹ × 5¹ × 373¹
LCM(14906,14920) = 111198760