What is the Least Common Multiple of 51493 and 51506?

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 51493 and 51506 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 51493 and 51506, than apply into the LCM equation.

GCF(51493,51506) = 13
LCM(51493,51506) = ( 51493 × 51506) / 13
LCM(51493,51506) = 2652198458 / 13
LCM(51493,51506) = 204015266

Least Common Multiple (LCM) of 51493 and 51506 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 51493 and 51506. First we will calculate the prime factors of 51493 and 51506.

Prime Factorization of 51493

Prime Factorization of 51506

Now multiplying the highest exponent prime factors to calculate the LCM of 51493 and 51506.

LCM(51493,51506) = 13¹ × 17¹ × 233¹ × 2¹ × 7¹ × 283¹
LCM(51493,51506) = 204015266