What is the Least Common Multiple of 50745 and 50760?

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 50745 and 50760 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 50745 and 50760, than apply into the LCM equation.

GCF(50745,50760) = 15
LCM(50745,50760) = ( 50745 × 50760) / 15
LCM(50745,50760) = 2575816200 / 15
LCM(50745,50760) = 171721080

Least Common Multiple (LCM) of 50745 and 50760 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 50745 and 50760. First we will calculate the prime factors of 50745 and 50760.

Prime Factorization of 50745

Prime Factorization of 50760

Now multiplying the highest exponent prime factors to calculate the LCM of 50745 and 50760.

LCM(50745,50760) = 3³ × 5¹ × 17¹ × 199¹ × 2³ × 47¹
LCM(50745,50760) = 171721080