What is the Least Common Multiple of 76194 and 76214?

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 76194 and 76214 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 76194 and 76214, than apply into the LCM equation.

GCF(76194,76214) = 2
LCM(76194,76214) = ( 76194 × 76214) / 2
LCM(76194,76214) = 5807049516 / 2
LCM(76194,76214) = 2903524758

Least Common Multiple (LCM) of 76194 and 76214 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 76194 and 76214. First we will calculate the prime factors of 76194 and 76214.

Prime Factorization of 76194

Prime Factorization of 76214

Now multiplying the highest exponent prime factors to calculate the LCM of 76194 and 76214.

LCM(76194,76214) = 2¹ × 3³ × 17¹ × 83¹ × 53¹ × 719¹
LCM(76194,76214) = 2903524758