What is the Least Common Multiple of 51246 and 51259?

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 51246 and 51259 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 51246 and 51259, than apply into the LCM equation.

GCF(51246,51259) = 13
LCM(51246,51259) = ( 51246 × 51259) / 13
LCM(51246,51259) = 2626818714 / 13
LCM(51246,51259) = 202062978

Least Common Multiple (LCM) of 51246 and 51259 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 51246 and 51259. First we will calculate the prime factors of 51246 and 51259.

Prime Factorization of 51246

Prime Factorization of 51259

Now multiplying the highest exponent prime factors to calculate the LCM of 51246 and 51259.

LCM(51246,51259) = 2¹ × 3³ × 13¹ × 73¹ × 3943¹
LCM(51246,51259) = 202062978