What is the Least Common Multiple of 51636 and 51649?

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 51636 and 51649 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 51636 and 51649, than apply into the LCM equation.

GCF(51636,51649) = 13
LCM(51636,51649) = ( 51636 × 51649) / 13
LCM(51636,51649) = 2666947764 / 13
LCM(51636,51649) = 205149828

Least Common Multiple (LCM) of 51636 and 51649 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 51636 and 51649. First we will calculate the prime factors of 51636 and 51649.

Prime Factorization of 51636

Prime Factorization of 51649

Now multiplying the highest exponent prime factors to calculate the LCM of 51636 and 51649.

LCM(51636,51649) = 2² × 3¹ × 13¹ × 331¹ × 29¹ × 137¹
LCM(51636,51649) = 205149828