What is the Least Common Multiple of 93860 and 93872?

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 93860 and 93872 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 93860 and 93872, than apply into the LCM equation.

GCF(93860,93872) = 4
LCM(93860,93872) = ( 93860 × 93872) / 4
LCM(93860,93872) = 8810825920 / 4
LCM(93860,93872) = 2202706480

Least Common Multiple (LCM) of 93860 and 93872 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 93860 and 93872. First we will calculate the prime factors of 93860 and 93872.

Prime Factorization of 93860

Prime Factorization of 93872

Now multiplying the highest exponent prime factors to calculate the LCM of 93860 and 93872.

LCM(93860,93872) = 2⁴ × 5¹ × 13¹ × 19² × 5867¹
LCM(93860,93872) = 2202706480