What is the Least Common Multiple of 76475 and 76489?

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 76475 and 76489 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 76475 and 76489, than apply into the LCM equation.

GCF(76475,76489) = 7
LCM(76475,76489) = ( 76475 × 76489) / 7
LCM(76475,76489) = 5849496275 / 7
LCM(76475,76489) = 835642325

Least Common Multiple (LCM) of 76475 and 76489 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 76475 and 76489. First we will calculate the prime factors of 76475 and 76489.

Prime Factorization of 76475

Prime Factorization of 76489

Now multiplying the highest exponent prime factors to calculate the LCM of 76475 and 76489.

LCM(76475,76489) = 5² × 7³ × 19¹ × 23¹ × 223¹
LCM(76475,76489) = 835642325