What is the Least Common Multiple of 14691 and 14699?

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 14691 and 14699 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 14691 and 14699, than apply into the LCM equation.

GCF(14691,14699) = 1
LCM(14691,14699) = ( 14691 × 14699) / 1
LCM(14691,14699) = 215943009 / 1
LCM(14691,14699) = 215943009

Least Common Multiple (LCM) of 14691 and 14699 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 14691 and 14699. First we will calculate the prime factors of 14691 and 14699.

Prime Factorization of 14691

Prime Factorization of 14699

Now multiplying the highest exponent prime factors to calculate the LCM of 14691 and 14699.

LCM(14691,14699) = 3¹ × 59¹ × 83¹ × 14699¹
LCM(14691,14699) = 215943009