GCF and LCM Calculator Logo

What is the Least Common Multiple of 50360 and 50366?

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 (LCM) of 50360 and 50366 is 1268215880.

LCM(50360,50366) = 1268215880

LCM Calculator and
and

Least Common Multiple of 50360 and 50366 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 50360 and 50366, than apply into the LCM equation.

GCF(50360,50366) = 2
LCM(50360,50366) = ( 50360 × 50366) / 2
LCM(50360,50366) = 2536431760 / 2
LCM(50360,50366) = 1268215880

Least Common Multiple (LCM) of 50360 and 50366 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 50360 and 50366. First we will calculate the prime factors of 50360 and 50366.

Prime Factorization of 50360

Prime factors of 50360 are 2, 5, 1259. Prime factorization of 50360 in exponential form is:

50360 = 23 × 51 × 12591

Prime Factorization of 50366

Prime factors of 50366 are 2, 25183. Prime factorization of 50366 in exponential form is:

50366 = 21 × 251831

Now multiplying the highest exponent prime factors to calculate the LCM of 50360 and 50366.

LCM(50360,50366) = 23 × 51 × 12591 × 251831
LCM(50360,50366) = 1268215880