What is the Least Common Multiple of 76234 and 76248?

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 76234 and 76248 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 76234 and 76248, than apply into the LCM equation.

GCF(76234,76248) = 2
LCM(76234,76248) = ( 76234 × 76248) / 2
LCM(76234,76248) = 5812690032 / 2
LCM(76234,76248) = 2906345016

Least Common Multiple (LCM) of 76234 and 76248 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 76234 and 76248. First we will calculate the prime factors of 76234 and 76248.

Prime Factorization of 76234

Prime Factorization of 76248

Now multiplying the highest exponent prime factors to calculate the LCM of 76234 and 76248.

LCM(76234,76248) = 2³ × 47¹ × 811¹ × 3³ × 353¹
LCM(76234,76248) = 2906345016