What is the Least Common Multiple of 51980 and 51985?

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 51985 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 51985, than apply into the LCM equation.

GCF(51980,51985) = 5
LCM(51980,51985) = ( 51980 × 51985) / 5
LCM(51980,51985) = 2702180300 / 5
LCM(51980,51985) = 540436060

Least Common Multiple (LCM) of 51980 and 51985 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 51980 and 51985. First we will calculate the prime factors of 51980 and 51985.

Prime Factorization of 51980

Prime Factorization of 51985

Now multiplying the highest exponent prime factors to calculate the LCM of 51980 and 51985.

LCM(51980,51985) = 2² × 5¹ × 23¹ × 113¹ × 37¹ × 281¹
LCM(51980,51985) = 540436060