What is the Least Common Multiple of 76368 and 76372?

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 76368 and 76372 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 76368 and 76372, than apply into the LCM equation.

GCF(76368,76372) = 4
LCM(76368,76372) = ( 76368 × 76372) / 4
LCM(76368,76372) = 5832376896 / 4
LCM(76368,76372) = 1458094224

Least Common Multiple (LCM) of 76368 and 76372 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 76368 and 76372. First we will calculate the prime factors of 76368 and 76372.

Prime Factorization of 76368

Prime Factorization of 76372

Now multiplying the highest exponent prime factors to calculate the LCM of 76368 and 76372.

LCM(76368,76372) = 2⁴ × 3¹ × 37¹ × 43¹ × 61¹ × 313¹
LCM(76368,76372) = 1458094224