What is the Least Common Multiple of 20675 and 20689?

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 20675 and 20689 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 20675 and 20689, than apply into the LCM equation.

GCF(20675,20689) = 1
LCM(20675,20689) = ( 20675 × 20689) / 1
LCM(20675,20689) = 427745075 / 1
LCM(20675,20689) = 427745075

Least Common Multiple (LCM) of 20675 and 20689 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 20675 and 20689. First we will calculate the prime factors of 20675 and 20689.

Prime Factorization of 20675

Prime Factorization of 20689

Now multiplying the highest exponent prime factors to calculate the LCM of 20675 and 20689.

LCM(20675,20689) = 5² × 827¹ × 17¹ × 1217¹
LCM(20675,20689) = 427745075