What is the Least Common Multiple of 50905 and 50920?

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 50905 and 50920 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 50905 and 50920, than apply into the LCM equation.

GCF(50905,50920) = 5
LCM(50905,50920) = ( 50905 × 50920) / 5
LCM(50905,50920) = 2592082600 / 5
LCM(50905,50920) = 518416520

Least Common Multiple (LCM) of 50905 and 50920 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 50905 and 50920. First we will calculate the prime factors of 50905 and 50920.

Prime Factorization of 50905

Prime Factorization of 50920

Now multiplying the highest exponent prime factors to calculate the LCM of 50905 and 50920.

LCM(50905,50920) = 5¹ × 10181¹ × 2³ × 19¹ × 67¹
LCM(50905,50920) = 518416520