What is the Least Common Multiple of 51369 and 51380?

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 51369 and 51380 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 51369 and 51380, than apply into the LCM equation.

GCF(51369,51380) = 1
LCM(51369,51380) = ( 51369 × 51380) / 1
LCM(51369,51380) = 2639339220 / 1
LCM(51369,51380) = 2639339220

Least Common Multiple (LCM) of 51369 and 51380 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 51369 and 51380. First we will calculate the prime factors of 51369 and 51380.

Prime Factorization of 51369

Prime Factorization of 51380

Now multiplying the highest exponent prime factors to calculate the LCM of 51369 and 51380.

LCM(51369,51380) = 3¹ × 17123¹ × 2² × 5¹ × 7¹ × 367¹
LCM(51369,51380) = 2639339220