What is the Least Common Multiple of 76188 and 76194?

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 76188 and 76194 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 76188 and 76194, than apply into the LCM equation.

GCF(76188,76194) = 6
LCM(76188,76194) = ( 76188 × 76194) / 6
LCM(76188,76194) = 5805068472 / 6
LCM(76188,76194) = 967511412

Least Common Multiple (LCM) of 76188 and 76194 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 76188 and 76194. First we will calculate the prime factors of 76188 and 76194.

Prime Factorization of 76188

Prime Factorization of 76194

Now multiplying the highest exponent prime factors to calculate the LCM of 76188 and 76194.

LCM(76188,76194) = 2² × 3³ × 7¹ × 907¹ × 17¹ × 83¹
LCM(76188,76194) = 967511412