What is the Least Common Multiple of 85666 and 85678?

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 85666 and 85678 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 85666 and 85678, than apply into the LCM equation.

GCF(85666,85678) = 2
LCM(85666,85678) = ( 85666 × 85678) / 2
LCM(85666,85678) = 7339691548 / 2
LCM(85666,85678) = 3669845774

Least Common Multiple (LCM) of 85666 and 85678 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 85666 and 85678. First we will calculate the prime factors of 85666 and 85678.

Prime Factorization of 85666

Prime Factorization of 85678

Now multiplying the highest exponent prime factors to calculate the LCM of 85666 and 85678.

LCM(85666,85678) = 2¹ × 7¹ × 29¹ × 211¹ × 42839¹
LCM(85666,85678) = 3669845774