What is the Least Common Multiple of 51623 and 51636?

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 51623 and 51636 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 51623 and 51636, than apply into the LCM equation.

GCF(51623,51636) = 13
LCM(51623,51636) = ( 51623 × 51636) / 13
LCM(51623,51636) = 2665605228 / 13
LCM(51623,51636) = 205046556

Least Common Multiple (LCM) of 51623 and 51636 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 51623 and 51636. First we will calculate the prime factors of 51623 and 51636.

Prime Factorization of 51623

Prime Factorization of 51636

Now multiplying the highest exponent prime factors to calculate the LCM of 51623 and 51636.

LCM(51623,51636) = 11¹ × 13¹ × 19² × 2² × 3¹ × 331¹
LCM(51623,51636) = 205046556