What is the Least Common Multiple of 20607 and 20621?

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 20607 and 20621 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 20607 and 20621, than apply into the LCM equation.

GCF(20607,20621) = 1
LCM(20607,20621) = ( 20607 × 20621) / 1
LCM(20607,20621) = 424936947 / 1
LCM(20607,20621) = 424936947

Least Common Multiple (LCM) of 20607 and 20621 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 20607 and 20621. First we will calculate the prime factors of 20607 and 20621.

Prime Factorization of 20607

Prime Factorization of 20621

Now multiplying the highest exponent prime factors to calculate the LCM of 20607 and 20621.

LCM(20607,20621) = 3¹ × 6869¹ × 17¹ × 1213¹
LCM(20607,20621) = 424936947