What is the Least Common Multiple of 85882 and 85890?

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 85882 and 85890 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 85882 and 85890, than apply into the LCM equation.

GCF(85882,85890) = 2
LCM(85882,85890) = ( 85882 × 85890) / 2
LCM(85882,85890) = 7376404980 / 2
LCM(85882,85890) = 3688202490

Least Common Multiple (LCM) of 85882 and 85890 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 85882 and 85890. First we will calculate the prime factors of 85882 and 85890.

Prime Factorization of 85882

Prime Factorization of 85890

Now multiplying the highest exponent prime factors to calculate the LCM of 85882 and 85890.

LCM(85882,85890) = 2¹ × 23¹ × 1867¹ × 3¹ × 5¹ × 7¹ × 409¹
LCM(85882,85890) = 3688202490