What is the Least Common Multiple of 76345 and 76358?

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 76345 and 76358 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 76345 and 76358, than apply into the LCM equation.

GCF(76345,76358) = 1
LCM(76345,76358) = ( 76345 × 76358) / 1
LCM(76345,76358) = 5829551510 / 1
LCM(76345,76358) = 5829551510

Least Common Multiple (LCM) of 76345 and 76358 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 76345 and 76358. First we will calculate the prime factors of 76345 and 76358.

Prime Factorization of 76345

Prime Factorization of 76358

Now multiplying the highest exponent prime factors to calculate the LCM of 76345 and 76358.

LCM(76345,76358) = 5¹ × 15269¹ × 2¹ × 73¹ × 523¹
LCM(76345,76358) = 5829551510