What is the Least Common Multiple of 76134 and 76148?

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 76134 and 76148 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 76134 and 76148, than apply into the LCM equation.

GCF(76134,76148) = 2
LCM(76134,76148) = ( 76134 × 76148) / 2
LCM(76134,76148) = 5797451832 / 2
LCM(76134,76148) = 2898725916

Least Common Multiple (LCM) of 76134 and 76148 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 76134 and 76148. First we will calculate the prime factors of 76134 and 76148.

Prime Factorization of 76134

Prime Factorization of 76148

Now multiplying the highest exponent prime factors to calculate the LCM of 76134 and 76148.

LCM(76134,76148) = 2² × 3¹ × 12689¹ × 19037¹
LCM(76134,76148) = 2898725916