What is the Least Common Multiple of 85840 and 85845?

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 85840 and 85845 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 85840 and 85845, than apply into the LCM equation.

GCF(85840,85845) = 5
LCM(85840,85845) = ( 85840 × 85845) / 5
LCM(85840,85845) = 7368934800 / 5
LCM(85840,85845) = 1473786960

Least Common Multiple (LCM) of 85840 and 85845 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 85840 and 85845. First we will calculate the prime factors of 85840 and 85845.

Prime Factorization of 85840

Prime Factorization of 85845

Now multiplying the highest exponent prime factors to calculate the LCM of 85840 and 85845.

LCM(85840,85845) = 2⁴ × 5¹ × 29¹ × 37¹ × 3¹ × 59¹ × 97¹
LCM(85840,85845) = 1473786960