What is the Least Common Multiple of 76194 and 76210?

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 76210 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 76210, than apply into the LCM equation.

GCF(76194,76210) = 2
LCM(76194,76210) = ( 76194 × 76210) / 2
LCM(76194,76210) = 5806744740 / 2
LCM(76194,76210) = 2903372370

Least Common Multiple (LCM) of 76194 and 76210 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 76194 and 76210. First we will calculate the prime factors of 76194 and 76210.

Prime Factorization of 76194

Prime Factorization of 76210

Now multiplying the highest exponent prime factors to calculate the LCM of 76194 and 76210.

LCM(76194,76210) = 2¹ × 3³ × 17¹ × 83¹ × 5¹ × 7621¹
LCM(76194,76210) = 2903372370