What is the Least Common Multiple of 50350 and 50370?

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 50350 and 50370 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 50350 and 50370, than apply into the LCM equation.

GCF(50350,50370) = 10
LCM(50350,50370) = ( 50350 × 50370) / 10
LCM(50350,50370) = 2536129500 / 10
LCM(50350,50370) = 253612950

Least Common Multiple (LCM) of 50350 and 50370 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 50350 and 50370. First we will calculate the prime factors of 50350 and 50370.

Prime Factorization of 50350

Prime Factorization of 50370

Now multiplying the highest exponent prime factors to calculate the LCM of 50350 and 50370.

LCM(50350,50370) = 2¹ × 5² × 19¹ × 53¹ × 3¹ × 23¹ × 73¹
LCM(50350,50370) = 253612950