What is the Least Common Multiple of 67368 and 67376?

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 67368 and 67376 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 67368 and 67376, than apply into the LCM equation.

GCF(67368,67376) = 8
LCM(67368,67376) = ( 67368 × 67376) / 8
LCM(67368,67376) = 4538986368 / 8
LCM(67368,67376) = 567373296

Least Common Multiple (LCM) of 67368 and 67376 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 67368 and 67376. First we will calculate the prime factors of 67368 and 67376.

Prime Factorization of 67368

Prime Factorization of 67376

Now multiplying the highest exponent prime factors to calculate the LCM of 67368 and 67376.

LCM(67368,67376) = 2⁴ × 3¹ × 7¹ × 401¹ × 4211¹
LCM(67368,67376) = 567373296