What is the Least Common Multiple of 14756 and 14776?

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 14756 and 14776 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 14756 and 14776, than apply into the LCM equation.

GCF(14756,14776) = 4
LCM(14756,14776) = ( 14756 × 14776) / 4
LCM(14756,14776) = 218034656 / 4
LCM(14756,14776) = 54508664

Least Common Multiple (LCM) of 14756 and 14776 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 14756 and 14776. First we will calculate the prime factors of 14756 and 14776.

Prime Factorization of 14756

Prime Factorization of 14776

Now multiplying the highest exponent prime factors to calculate the LCM of 14756 and 14776.

LCM(14756,14776) = 2³ × 7¹ × 17¹ × 31¹ × 1847¹
LCM(14756,14776) = 54508664