What is the Least Common Multiple of 76300 and 76315?

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 76300 and 76315 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 76300 and 76315, than apply into the LCM equation.

GCF(76300,76315) = 5
LCM(76300,76315) = ( 76300 × 76315) / 5
LCM(76300,76315) = 5822834500 / 5
LCM(76300,76315) = 1164566900

Least Common Multiple (LCM) of 76300 and 76315 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 76300 and 76315. First we will calculate the prime factors of 76300 and 76315.

Prime Factorization of 76300

Prime Factorization of 76315

Now multiplying the highest exponent prime factors to calculate the LCM of 76300 and 76315.

LCM(76300,76315) = 2² × 5² × 7¹ × 109¹ × 15263¹
LCM(76300,76315) = 1164566900