What is the Least Common Multiple of 85846 and 85866?

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 85846 and 85866 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 85846 and 85866, than apply into the LCM equation.

GCF(85846,85866) = 2
LCM(85846,85866) = ( 85846 × 85866) / 2
LCM(85846,85866) = 7371252636 / 2
LCM(85846,85866) = 3685626318

Least Common Multiple (LCM) of 85846 and 85866 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 85846 and 85866. First we will calculate the prime factors of 85846 and 85866.

Prime Factorization of 85846

Prime Factorization of 85866

Now multiplying the highest exponent prime factors to calculate the LCM of 85846 and 85866.

LCM(85846,85866) = 2¹ × 42923¹ × 3¹ × 11¹ × 1301¹
LCM(85846,85866) = 3685626318