What is the Least Common Multiple of 21688 and 21702?

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 21688 and 21702 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 21688 and 21702, than apply into the LCM equation.

GCF(21688,21702) = 2
LCM(21688,21702) = ( 21688 × 21702) / 2
LCM(21688,21702) = 470672976 / 2
LCM(21688,21702) = 235336488

Least Common Multiple (LCM) of 21688 and 21702 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 21688 and 21702. First we will calculate the prime factors of 21688 and 21702.

Prime Factorization of 21688

Prime Factorization of 21702

Now multiplying the highest exponent prime factors to calculate the LCM of 21688 and 21702.

LCM(21688,21702) = 2³ × 2711¹ × 3¹ × 3617¹
LCM(21688,21702) = 235336488