What is the Least Common Multiple of 14864 and 14869?

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 14864 and 14869 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 14864 and 14869, than apply into the LCM equation.

GCF(14864,14869) = 1
LCM(14864,14869) = ( 14864 × 14869) / 1
LCM(14864,14869) = 221012816 / 1
LCM(14864,14869) = 221012816

Least Common Multiple (LCM) of 14864 and 14869 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 14864 and 14869. First we will calculate the prime factors of 14864 and 14869.

Prime Factorization of 14864

Prime Factorization of 14869

Now multiplying the highest exponent prime factors to calculate the LCM of 14864 and 14869.

LCM(14864,14869) = 2⁴ × 929¹ × 14869¹
LCM(14864,14869) = 221012816