What is the Least Common Multiple of 74194 and 74214?

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 74194 and 74214 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 74194 and 74214, than apply into the LCM equation.

GCF(74194,74214) = 2
LCM(74194,74214) = ( 74194 × 74214) / 2
LCM(74194,74214) = 5506233516 / 2
LCM(74194,74214) = 2753116758

Least Common Multiple (LCM) of 74194 and 74214 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 74194 and 74214. First we will calculate the prime factors of 74194 and 74214.

Prime Factorization of 74194

Prime Factorization of 74214

Now multiplying the highest exponent prime factors to calculate the LCM of 74194 and 74214.

LCM(74194,74214) = 2¹ × 37097¹ × 3² × 7¹ × 19¹ × 31¹
LCM(74194,74214) = 2753116758