What is the Least Common Multiple of 51370 and 51382?

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 51370 and 51382 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 51370 and 51382, than apply into the LCM equation.

GCF(51370,51382) = 2
LCM(51370,51382) = ( 51370 × 51382) / 2
LCM(51370,51382) = 2639493340 / 2
LCM(51370,51382) = 1319746670

Least Common Multiple (LCM) of 51370 and 51382 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 51370 and 51382. First we will calculate the prime factors of 51370 and 51382.

Prime Factorization of 51370

Prime Factorization of 51382

Now multiplying the highest exponent prime factors to calculate the LCM of 51370 and 51382.

LCM(51370,51382) = 2¹ × 5¹ × 11¹ × 467¹ × 23¹ × 1117¹
LCM(51370,51382) = 1319746670