What is the Least Common Multiple of 20670 and 20688?

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 20670 and 20688 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 20670 and 20688, than apply into the LCM equation.

GCF(20670,20688) = 6
LCM(20670,20688) = ( 20670 × 20688) / 6
LCM(20670,20688) = 427620960 / 6
LCM(20670,20688) = 71270160

Least Common Multiple (LCM) of 20670 and 20688 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 20670 and 20688. First we will calculate the prime factors of 20670 and 20688.

Prime Factorization of 20670

Prime Factorization of 20688

Now multiplying the highest exponent prime factors to calculate the LCM of 20670 and 20688.

LCM(20670,20688) = 2⁴ × 3¹ × 5¹ × 13¹ × 53¹ × 431¹
LCM(20670,20688) = 71270160