What is the Least Common Multiple of 76120 and 76134?

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 76120 and 76134 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 76120 and 76134, than apply into the LCM equation.

GCF(76120,76134) = 2
LCM(76120,76134) = ( 76120 × 76134) / 2
LCM(76120,76134) = 5795320080 / 2
LCM(76120,76134) = 2897660040

Least Common Multiple (LCM) of 76120 and 76134 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 76120 and 76134. First we will calculate the prime factors of 76120 and 76134.

Prime Factorization of 76120

Prime Factorization of 76134

Now multiplying the highest exponent prime factors to calculate the LCM of 76120 and 76134.

LCM(76120,76134) = 2³ × 5¹ × 11¹ × 173¹ × 3¹ × 12689¹
LCM(76120,76134) = 2897660040