What is the Least Common Multiple of 76398 and 76415?

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 76398 and 76415 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 76398 and 76415, than apply into the LCM equation.

GCF(76398,76415) = 17
LCM(76398,76415) = ( 76398 × 76415) / 17
LCM(76398,76415) = 5837953170 / 17
LCM(76398,76415) = 343409010

Least Common Multiple (LCM) of 76398 and 76415 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 76398 and 76415. First we will calculate the prime factors of 76398 and 76415.

Prime Factorization of 76398

Prime Factorization of 76415

Now multiplying the highest exponent prime factors to calculate the LCM of 76398 and 76415.

LCM(76398,76415) = 2¹ × 3¹ × 7¹ × 17¹ × 107¹ × 5¹ × 29¹ × 31¹
LCM(76398,76415) = 343409010