What is the Least Common Multiple of 51975 and 51980?

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 51975 and 51980 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 51975 and 51980, than apply into the LCM equation.

GCF(51975,51980) = 5
LCM(51975,51980) = ( 51975 × 51980) / 5
LCM(51975,51980) = 2701660500 / 5
LCM(51975,51980) = 540332100

Least Common Multiple (LCM) of 51975 and 51980 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 51975 and 51980. First we will calculate the prime factors of 51975 and 51980.

Prime Factorization of 51975

Prime Factorization of 51980

Now multiplying the highest exponent prime factors to calculate the LCM of 51975 and 51980.

LCM(51975,51980) = 3³ × 5² × 7¹ × 11¹ × 2² × 23¹ × 113¹
LCM(51975,51980) = 540332100