What is the Least Common Multiple of 78264 and 78275?

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 78264 and 78275 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 78264 and 78275, than apply into the LCM equation.

GCF(78264,78275) = 1
LCM(78264,78275) = ( 78264 × 78275) / 1
LCM(78264,78275) = 6126114600 / 1
LCM(78264,78275) = 6126114600

Least Common Multiple (LCM) of 78264 and 78275 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 78264 and 78275. First we will calculate the prime factors of 78264 and 78275.

Prime Factorization of 78264

Prime Factorization of 78275

Now multiplying the highest exponent prime factors to calculate the LCM of 78264 and 78275.

LCM(78264,78275) = 2³ × 3² × 1087¹ × 5² × 31¹ × 101¹
LCM(78264,78275) = 6126114600