What is the Least Common Multiple of 50940 and 50945?

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 50940 and 50945 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 50940 and 50945, than apply into the LCM equation.

GCF(50940,50945) = 5
LCM(50940,50945) = ( 50940 × 50945) / 5
LCM(50940,50945) = 2595138300 / 5
LCM(50940,50945) = 519027660

Least Common Multiple (LCM) of 50940 and 50945 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 50940 and 50945. First we will calculate the prime factors of 50940 and 50945.

Prime Factorization of 50940

Prime Factorization of 50945

Now multiplying the highest exponent prime factors to calculate the LCM of 50940 and 50945.

LCM(50940,50945) = 2² × 3² × 5¹ × 283¹ × 23¹ × 443¹
LCM(50940,50945) = 519027660