What is the Least Common Multiple of 74374 and 74384?

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 74384 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 74384, than apply into the LCM equation.

GCF(74374,74384) = 2
LCM(74374,74384) = ( 74374 × 74384) / 2
LCM(74374,74384) = 5532235616 / 2
LCM(74374,74384) = 2766117808

Least Common Multiple (LCM) of 74374 and 74384 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 74374 and 74384. First we will calculate the prime factors of 74374 and 74384.

Prime Factorization of 74374

Prime Factorization of 74384

Now multiplying the highest exponent prime factors to calculate the LCM of 74374 and 74384.

LCM(74374,74384) = 2⁴ × 41¹ × 907¹ × 4649¹
LCM(74374,74384) = 2766117808