What is the Least Common Multiple of 51453 and 51460?

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 51453 and 51460 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 51453 and 51460, than apply into the LCM equation.

GCF(51453,51460) = 1
LCM(51453,51460) = ( 51453 × 51460) / 1
LCM(51453,51460) = 2647771380 / 1
LCM(51453,51460) = 2647771380

Least Common Multiple (LCM) of 51453 and 51460 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 51453 and 51460. First we will calculate the prime factors of 51453 and 51460.

Prime Factorization of 51453

Prime Factorization of 51460

Now multiplying the highest exponent prime factors to calculate the LCM of 51453 and 51460.

LCM(51453,51460) = 3² × 5717¹ × 2² × 5¹ × 31¹ × 83¹
LCM(51453,51460) = 2647771380