What is the Least Common Multiple of 14696 and 14714?

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 14696 and 14714 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 14696 and 14714, than apply into the LCM equation.

GCF(14696,14714) = 2
LCM(14696,14714) = ( 14696 × 14714) / 2
LCM(14696,14714) = 216236944 / 2
LCM(14696,14714) = 108118472

Least Common Multiple (LCM) of 14696 and 14714 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 14696 and 14714. First we will calculate the prime factors of 14696 and 14714.

Prime Factorization of 14696

Prime Factorization of 14714

Now multiplying the highest exponent prime factors to calculate the LCM of 14696 and 14714.

LCM(14696,14714) = 2³ × 11¹ × 167¹ × 7¹ × 1051¹
LCM(14696,14714) = 108118472