What is the Least Common Multiple of 17679 and 17688?

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 17679 and 17688 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 17679 and 17688, than apply into the LCM equation.

GCF(17679,17688) = 3
LCM(17679,17688) = ( 17679 × 17688) / 3
LCM(17679,17688) = 312706152 / 3
LCM(17679,17688) = 104235384

Least Common Multiple (LCM) of 17679 and 17688 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 17679 and 17688. First we will calculate the prime factors of 17679 and 17688.

Prime Factorization of 17679

Prime Factorization of 17688

Now multiplying the highest exponent prime factors to calculate the LCM of 17679 and 17688.

LCM(17679,17688) = 3¹ × 71¹ × 83¹ × 2³ × 11¹ × 67¹
LCM(17679,17688) = 104235384