What is the Least Common Multiple of 76374 and 76384?

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 76374 and 76384 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 76374 and 76384, than apply into the LCM equation.

GCF(76374,76384) = 2
LCM(76374,76384) = ( 76374 × 76384) / 2
LCM(76374,76384) = 5833751616 / 2
LCM(76374,76384) = 2916875808

Least Common Multiple (LCM) of 76374 and 76384 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 76374 and 76384. First we will calculate the prime factors of 76374 and 76384.

Prime Factorization of 76374

Prime Factorization of 76384

Now multiplying the highest exponent prime factors to calculate the LCM of 76374 and 76384.

LCM(76374,76384) = 2⁵ × 3² × 4243¹ × 7¹ × 11¹ × 31¹
LCM(76374,76384) = 2916875808