What is the Least Common Multiple of 76380 and 76385?

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 76380 and 76385 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 76380 and 76385, than apply into the LCM equation.

GCF(76380,76385) = 5
LCM(76380,76385) = ( 76380 × 76385) / 5
LCM(76380,76385) = 5834286300 / 5
LCM(76380,76385) = 1166857260

Least Common Multiple (LCM) of 76380 and 76385 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 76380 and 76385. First we will calculate the prime factors of 76380 and 76385.

Prime Factorization of 76380

Prime Factorization of 76385

Now multiplying the highest exponent prime factors to calculate the LCM of 76380 and 76385.

LCM(76380,76385) = 2² × 3¹ × 5¹ × 19¹ × 67¹ × 15277¹
LCM(76380,76385) = 1166857260