What is the Least Common Multiple of 14672 and 14677?

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 14672 and 14677 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 14672 and 14677, than apply into the LCM equation.

GCF(14672,14677) = 1
LCM(14672,14677) = ( 14672 × 14677) / 1
LCM(14672,14677) = 215340944 / 1
LCM(14672,14677) = 215340944

Least Common Multiple (LCM) of 14672 and 14677 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 14672 and 14677. First we will calculate the prime factors of 14672 and 14677.

Prime Factorization of 14672

Prime Factorization of 14677

Now multiplying the highest exponent prime factors to calculate the LCM of 14672 and 14677.

LCM(14672,14677) = 2⁴ × 7¹ × 131¹ × 13¹ × 1129¹
LCM(14672,14677) = 215340944