What is the Least Common Multiple of 76415 and 76425?

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 76415 and 76425 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 76415 and 76425, than apply into the LCM equation.

GCF(76415,76425) = 5
LCM(76415,76425) = ( 76415 × 76425) / 5
LCM(76415,76425) = 5840016375 / 5
LCM(76415,76425) = 1168003275

Least Common Multiple (LCM) of 76415 and 76425 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 76415 and 76425. First we will calculate the prime factors of 76415 and 76425.

Prime Factorization of 76415

Prime Factorization of 76425

Now multiplying the highest exponent prime factors to calculate the LCM of 76415 and 76425.

LCM(76415,76425) = 5² × 17¹ × 29¹ × 31¹ × 3¹ × 1019¹
LCM(76415,76425) = 1168003275