What is the Least Common Multiple of 85548 and 85567?

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 85548 and 85567 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 85548 and 85567, than apply into the LCM equation.

GCF(85548,85567) = 1
LCM(85548,85567) = ( 85548 × 85567) / 1
LCM(85548,85567) = 7320085716 / 1
LCM(85548,85567) = 7320085716

Least Common Multiple (LCM) of 85548 and 85567 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 85548 and 85567. First we will calculate the prime factors of 85548 and 85567.

Prime Factorization of 85548

Prime Factorization of 85567

Now multiplying the highest exponent prime factors to calculate the LCM of 85548 and 85567.

LCM(85548,85567) = 2² × 3¹ × 7129¹ × 41¹ × 2087¹
LCM(85548,85567) = 7320085716