What is the Least Common Multiple of 85656 and 85670?

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 85656 and 85670 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 85656 and 85670, than apply into the LCM equation.

GCF(85656,85670) = 2
LCM(85656,85670) = ( 85656 × 85670) / 2
LCM(85656,85670) = 7338149520 / 2
LCM(85656,85670) = 3669074760

Least Common Multiple (LCM) of 85656 and 85670 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 85656 and 85670. First we will calculate the prime factors of 85656 and 85670.

Prime Factorization of 85656

Prime Factorization of 85670

Now multiplying the highest exponent prime factors to calculate the LCM of 85656 and 85670.

LCM(85656,85670) = 2³ × 3¹ × 43¹ × 83¹ × 5¹ × 13¹ × 659¹
LCM(85656,85670) = 3669074760