What is the Least Common Multiple of 85870 and 85884?

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 85870 and 85884 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 85870 and 85884, than apply into the LCM equation.

GCF(85870,85884) = 2
LCM(85870,85884) = ( 85870 × 85884) / 2
LCM(85870,85884) = 7374859080 / 2
LCM(85870,85884) = 3687429540

Least Common Multiple (LCM) of 85870 and 85884 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 85870 and 85884. First we will calculate the prime factors of 85870 and 85884.

Prime Factorization of 85870

Prime Factorization of 85884

Now multiplying the highest exponent prime factors to calculate the LCM of 85870 and 85884.

LCM(85870,85884) = 2² × 5¹ × 31¹ × 277¹ × 3¹ × 17¹ × 421¹
LCM(85870,85884) = 3687429540