What is the Least Common Multiple of 14896 and 14900?

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 14896 and 14900 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 14896 and 14900, than apply into the LCM equation.

GCF(14896,14900) = 4
LCM(14896,14900) = ( 14896 × 14900) / 4
LCM(14896,14900) = 221950400 / 4
LCM(14896,14900) = 55487600

Least Common Multiple (LCM) of 14896 and 14900 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 14896 and 14900. First we will calculate the prime factors of 14896 and 14900.

Prime Factorization of 14896

Prime Factorization of 14900

Now multiplying the highest exponent prime factors to calculate the LCM of 14896 and 14900.

LCM(14896,14900) = 2⁴ × 7² × 19¹ × 5² × 149¹
LCM(14896,14900) = 55487600