What is the Least Common Multiple of 20636 and 20649?

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 20636 and 20649 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 20636 and 20649, than apply into the LCM equation.

GCF(20636,20649) = 1
LCM(20636,20649) = ( 20636 × 20649) / 1
LCM(20636,20649) = 426112764 / 1
LCM(20636,20649) = 426112764

Least Common Multiple (LCM) of 20636 and 20649 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 20636 and 20649. First we will calculate the prime factors of 20636 and 20649.

Prime Factorization of 20636

Prime Factorization of 20649

Now multiplying the highest exponent prime factors to calculate the LCM of 20636 and 20649.

LCM(20636,20649) = 2² × 7¹ × 11¹ × 67¹ × 3¹ × 6883¹
LCM(20636,20649) = 426112764