What is the Least Common Multiple of 76204 and 76217?

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 76204 and 76217 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 76204 and 76217, than apply into the LCM equation.

GCF(76204,76217) = 1
LCM(76204,76217) = ( 76204 × 76217) / 1
LCM(76204,76217) = 5808040268 / 1
LCM(76204,76217) = 5808040268

Least Common Multiple (LCM) of 76204 and 76217 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 76204 and 76217. First we will calculate the prime factors of 76204 and 76217.

Prime Factorization of 76204

Prime Factorization of 76217

Now multiplying the highest exponent prime factors to calculate the LCM of 76204 and 76217.

LCM(76204,76217) = 2² × 19051¹ × 199¹ × 383¹
LCM(76204,76217) = 5808040268