What is the Least Common Multiple of 20678 and 20684?

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 20678 and 20684 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 20678 and 20684, than apply into the LCM equation.

GCF(20678,20684) = 2
LCM(20678,20684) = ( 20678 × 20684) / 2
LCM(20678,20684) = 427703752 / 2
LCM(20678,20684) = 213851876

Least Common Multiple (LCM) of 20678 and 20684 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 20678 and 20684. First we will calculate the prime factors of 20678 and 20684.

Prime Factorization of 20678

Prime Factorization of 20684

Now multiplying the highest exponent prime factors to calculate the LCM of 20678 and 20684.

LCM(20678,20684) = 2² × 7² × 211¹ × 5171¹
LCM(20678,20684) = 213851876