What is the Least Common Multiple of 50740 and 50751?

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 50740 and 50751 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 50740 and 50751, than apply into the LCM equation.

GCF(50740,50751) = 1
LCM(50740,50751) = ( 50740 × 50751) / 1
LCM(50740,50751) = 2575105740 / 1
LCM(50740,50751) = 2575105740

Least Common Multiple (LCM) of 50740 and 50751 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 50740 and 50751. First we will calculate the prime factors of 50740 and 50751.

Prime Factorization of 50740

Prime Factorization of 50751

Now multiplying the highest exponent prime factors to calculate the LCM of 50740 and 50751.

LCM(50740,50751) = 2² × 5¹ × 43¹ × 59¹ × 3² × 5639¹
LCM(50740,50751) = 2575105740