What is the Least Common Multiple of 74374 and 74382?

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 74374 and 74382 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 74374 and 74382, than apply into the LCM equation.

GCF(74374,74382) = 2
LCM(74374,74382) = ( 74374 × 74382) / 2
LCM(74374,74382) = 5532086868 / 2
LCM(74374,74382) = 2766043434

Least Common Multiple (LCM) of 74374 and 74382 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 74374 and 74382. First we will calculate the prime factors of 74374 and 74382.

Prime Factorization of 74374

Prime Factorization of 74382

Now multiplying the highest exponent prime factors to calculate the LCM of 74374 and 74382.

LCM(74374,74382) = 2¹ × 41¹ × 907¹ × 3¹ × 7² × 11¹ × 23¹
LCM(74374,74382) = 2766043434