What is the Least Common Multiple of 51980 and 51999?

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 51980 and 51999 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 51980 and 51999, than apply into the LCM equation.

GCF(51980,51999) = 1
LCM(51980,51999) = ( 51980 × 51999) / 1
LCM(51980,51999) = 2702908020 / 1
LCM(51980,51999) = 2702908020

Least Common Multiple (LCM) of 51980 and 51999 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 51980 and 51999. First we will calculate the prime factors of 51980 and 51999.

Prime Factorization of 51980

Prime Factorization of 51999

Now multiplying the highest exponent prime factors to calculate the LCM of 51980 and 51999.

LCM(51980,51999) = 2² × 5¹ × 23¹ × 113¹ × 3¹ × 17333¹
LCM(51980,51999) = 2702908020