What is the Least Common Multiple of 48330 and 48342?

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 48330 and 48342 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 48330 and 48342, than apply into the LCM equation.

GCF(48330,48342) = 6
LCM(48330,48342) = ( 48330 × 48342) / 6
LCM(48330,48342) = 2336368860 / 6
LCM(48330,48342) = 389394810

Least Common Multiple (LCM) of 48330 and 48342 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 48330 and 48342. First we will calculate the prime factors of 48330 and 48342.

Prime Factorization of 48330

Prime Factorization of 48342

Now multiplying the highest exponent prime factors to calculate the LCM of 48330 and 48342.

LCM(48330,48342) = 2¹ × 3³ × 5¹ × 179¹ × 7¹ × 1151¹
LCM(48330,48342) = 389394810