What is the Least Common Multiple of 50730 and 50750?

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 50730 and 50750 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 50730 and 50750, than apply into the LCM equation.

GCF(50730,50750) = 10
LCM(50730,50750) = ( 50730 × 50750) / 10
LCM(50730,50750) = 2574547500 / 10
LCM(50730,50750) = 257454750

Least Common Multiple (LCM) of 50730 and 50750 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 50730 and 50750. First we will calculate the prime factors of 50730 and 50750.

Prime Factorization of 50730

Prime Factorization of 50750

Now multiplying the highest exponent prime factors to calculate the LCM of 50730 and 50750.

LCM(50730,50750) = 2¹ × 3¹ × 5³ × 19¹ × 89¹ × 7¹ × 29¹
LCM(50730,50750) = 257454750