What is the Least Common Multiple of 85836 and 85840?

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 85836 and 85840 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 85836 and 85840, than apply into the LCM equation.

GCF(85836,85840) = 4
LCM(85836,85840) = ( 85836 × 85840) / 4
LCM(85836,85840) = 7368162240 / 4
LCM(85836,85840) = 1842040560

Least Common Multiple (LCM) of 85836 and 85840 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 85836 and 85840. First we will calculate the prime factors of 85836 and 85840.

Prime Factorization of 85836

Prime Factorization of 85840

Now multiplying the highest exponent prime factors to calculate the LCM of 85836 and 85840.

LCM(85836,85840) = 2⁴ × 3¹ × 23¹ × 311¹ × 5¹ × 29¹ × 37¹
LCM(85836,85840) = 1842040560