What is the Least Common Multiple of 85960 and 85964?

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 85960 and 85964 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 85960 and 85964, than apply into the LCM equation.

GCF(85960,85964) = 4
LCM(85960,85964) = ( 85960 × 85964) / 4
LCM(85960,85964) = 7389465440 / 4
LCM(85960,85964) = 1847366360

Least Common Multiple (LCM) of 85960 and 85964 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 85960 and 85964. First we will calculate the prime factors of 85960 and 85964.

Prime Factorization of 85960

Prime Factorization of 85964

Now multiplying the highest exponent prime factors to calculate the LCM of 85960 and 85964.

LCM(85960,85964) = 2³ × 5¹ × 7¹ × 307¹ × 21491¹
LCM(85960,85964) = 1847366360