What is the Least Common Multiple of 93880 and 93886?

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 93880 and 93886 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 93880 and 93886, than apply into the LCM equation.

GCF(93880,93886) = 2
LCM(93880,93886) = ( 93880 × 93886) / 2
LCM(93880,93886) = 8814017680 / 2
LCM(93880,93886) = 4407008840

Least Common Multiple (LCM) of 93880 and 93886 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 93880 and 93886. First we will calculate the prime factors of 93880 and 93886.

Prime Factorization of 93880

Prime Factorization of 93886

Now multiplying the highest exponent prime factors to calculate the LCM of 93880 and 93886.

LCM(93880,93886) = 2³ × 5¹ × 2347¹ × 13¹ × 23¹ × 157¹
LCM(93880,93886) = 4407008840