What is the Least Common Multiple of 14730 and 14736?

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 14730 and 14736 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 14730 and 14736, than apply into the LCM equation.

GCF(14730,14736) = 6
LCM(14730,14736) = ( 14730 × 14736) / 6
LCM(14730,14736) = 217061280 / 6
LCM(14730,14736) = 36176880

Least Common Multiple (LCM) of 14730 and 14736 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 14730 and 14736. First we will calculate the prime factors of 14730 and 14736.

Prime Factorization of 14730

Prime Factorization of 14736

Now multiplying the highest exponent prime factors to calculate the LCM of 14730 and 14736.

LCM(14730,14736) = 2⁴ × 3¹ × 5¹ × 491¹ × 307¹
LCM(14730,14736) = 36176880