What is the Least Common Multiple of 14780 and 14796?

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 14780 and 14796 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 14780 and 14796, than apply into the LCM equation.

GCF(14780,14796) = 4
LCM(14780,14796) = ( 14780 × 14796) / 4
LCM(14780,14796) = 218684880 / 4
LCM(14780,14796) = 54671220

Least Common Multiple (LCM) of 14780 and 14796 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 14780 and 14796. First we will calculate the prime factors of 14780 and 14796.

Prime Factorization of 14780

Prime Factorization of 14796

Now multiplying the highest exponent prime factors to calculate the LCM of 14780 and 14796.

LCM(14780,14796) = 2² × 5¹ × 739¹ × 3³ × 137¹
LCM(14780,14796) = 54671220