What is the Least Common Multiple of 30368 and 30382?

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 30368 and 30382 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 30368 and 30382, than apply into the LCM equation.

GCF(30368,30382) = 2
LCM(30368,30382) = ( 30368 × 30382) / 2
LCM(30368,30382) = 922640576 / 2
LCM(30368,30382) = 461320288

Least Common Multiple (LCM) of 30368 and 30382 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 30368 and 30382. First we will calculate the prime factors of 30368 and 30382.

Prime Factorization of 30368

Prime Factorization of 30382

Now multiplying the highest exponent prime factors to calculate the LCM of 30368 and 30382.

LCM(30368,30382) = 2⁵ × 13¹ × 73¹ × 11¹ × 1381¹
LCM(30368,30382) = 461320288