What is the Least Common Multiple of 85984 and 85990?

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 85984 and 85990 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 85984 and 85990, than apply into the LCM equation.

GCF(85984,85990) = 2
LCM(85984,85990) = ( 85984 × 85990) / 2
LCM(85984,85990) = 7393764160 / 2
LCM(85984,85990) = 3696882080

Least Common Multiple (LCM) of 85984 and 85990 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 85984 and 85990. First we will calculate the prime factors of 85984 and 85990.

Prime Factorization of 85984

Prime Factorization of 85990

Now multiplying the highest exponent prime factors to calculate the LCM of 85984 and 85990.

LCM(85984,85990) = 2⁵ × 2687¹ × 5¹ × 8599¹
LCM(85984,85990) = 3696882080