What is the Least Common Multiple of 76380 and 76398?

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 76398 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 76398, than apply into the LCM equation.

GCF(76380,76398) = 6
LCM(76380,76398) = ( 76380 × 76398) / 6
LCM(76380,76398) = 5835279240 / 6
LCM(76380,76398) = 972546540

Least Common Multiple (LCM) of 76380 and 76398 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 76380 and 76398. First we will calculate the prime factors of 76380 and 76398.

Prime Factorization of 76380

Prime Factorization of 76398

Now multiplying the highest exponent prime factors to calculate the LCM of 76380 and 76398.

LCM(76380,76398) = 2² × 3¹ × 5¹ × 19¹ × 67¹ × 7¹ × 17¹ × 107¹
LCM(76380,76398) = 972546540