What is the Least Common Multiple of 85914 and 85920?

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 85914 and 85920 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 85914 and 85920, than apply into the LCM equation.

GCF(85914,85920) = 6
LCM(85914,85920) = ( 85914 × 85920) / 6
LCM(85914,85920) = 7381730880 / 6
LCM(85914,85920) = 1230288480

Least Common Multiple (LCM) of 85914 and 85920 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 85914 and 85920. First we will calculate the prime factors of 85914 and 85920.

Prime Factorization of 85914

Prime Factorization of 85920

Now multiplying the highest exponent prime factors to calculate the LCM of 85914 and 85920.

LCM(85914,85920) = 2⁵ × 3³ × 37¹ × 43¹ × 5¹ × 179¹
LCM(85914,85920) = 1230288480