What is the Least Common Multiple of 74674 and 74691?

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 74674 and 74691 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 74674 and 74691, than apply into the LCM equation.

GCF(74674,74691) = 1
LCM(74674,74691) = ( 74674 × 74691) / 1
LCM(74674,74691) = 5577475734 / 1
LCM(74674,74691) = 5577475734

Least Common Multiple (LCM) of 74674 and 74691 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 74674 and 74691. First we will calculate the prime factors of 74674 and 74691.

Prime Factorization of 74674

Prime Factorization of 74691

Now multiplying the highest exponent prime factors to calculate the LCM of 74674 and 74691.

LCM(74674,74691) = 2¹ × 37337¹ × 3² × 43¹ × 193¹
LCM(74674,74691) = 5577475734