What is the Least Common Multiple of 76140 and 76158?

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 76140 and 76158 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 76140 and 76158, than apply into the LCM equation.

GCF(76140,76158) = 18
LCM(76140,76158) = ( 76140 × 76158) / 18
LCM(76140,76158) = 5798670120 / 18
LCM(76140,76158) = 322148340

Least Common Multiple (LCM) of 76140 and 76158 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 76140 and 76158. First we will calculate the prime factors of 76140 and 76158.

Prime Factorization of 76140

Prime Factorization of 76158

Now multiplying the highest exponent prime factors to calculate the LCM of 76140 and 76158.

LCM(76140,76158) = 2² × 3⁴ × 5¹ × 47¹ × 4231¹
LCM(76140,76158) = 322148340