What is the Least Common Multiple of 51350 and 51370?

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 51350 and 51370 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 51350 and 51370, than apply into the LCM equation.

GCF(51350,51370) = 10
LCM(51350,51370) = ( 51350 × 51370) / 10
LCM(51350,51370) = 2637849500 / 10
LCM(51350,51370) = 263784950

Least Common Multiple (LCM) of 51350 and 51370 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 51350 and 51370. First we will calculate the prime factors of 51350 and 51370.

Prime Factorization of 51350

Prime Factorization of 51370

Now multiplying the highest exponent prime factors to calculate the LCM of 51350 and 51370.

LCM(51350,51370) = 2¹ × 5² × 13¹ × 79¹ × 11¹ × 467¹
LCM(51350,51370) = 263784950