What is the Least Common Multiple of 93048 and 93068?

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 93048 and 93068 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 93048 and 93068, than apply into the LCM equation.

GCF(93048,93068) = 4
LCM(93048,93068) = ( 93048 × 93068) / 4
LCM(93048,93068) = 8659791264 / 4
LCM(93048,93068) = 2164947816

Least Common Multiple (LCM) of 93048 and 93068 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 93048 and 93068. First we will calculate the prime factors of 93048 and 93068.

Prime Factorization of 93048

Prime Factorization of 93068

Now multiplying the highest exponent prime factors to calculate the LCM of 93048 and 93068.

LCM(93048,93068) = 2³ × 3¹ × 3877¹ × 53¹ × 439¹
LCM(93048,93068) = 2164947816