What is the Least Common Multiple of 51460 and 51478?

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 51460 and 51478 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 51460 and 51478, than apply into the LCM equation.

GCF(51460,51478) = 2
LCM(51460,51478) = ( 51460 × 51478) / 2
LCM(51460,51478) = 2649057880 / 2
LCM(51460,51478) = 1324528940

Least Common Multiple (LCM) of 51460 and 51478 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 51460 and 51478. First we will calculate the prime factors of 51460 and 51478.

Prime Factorization of 51460

Prime Factorization of 51478

Now multiplying the highest exponent prime factors to calculate the LCM of 51460 and 51478.

LCM(51460,51478) = 2² × 5¹ × 31¹ × 83¹ × 7¹ × 3677¹
LCM(51460,51478) = 1324528940