What is the Least Common Multiple of 85547 and 85561?

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 85547 and 85561 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 85547 and 85561, than apply into the LCM equation.

GCF(85547,85561) = 7
LCM(85547,85561) = ( 85547 × 85561) / 7
LCM(85547,85561) = 7319486867 / 7
LCM(85547,85561) = 1045640981

Least Common Multiple (LCM) of 85547 and 85561 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 85547 and 85561. First we will calculate the prime factors of 85547 and 85561.

Prime Factorization of 85547

Prime Factorization of 85561

Now multiplying the highest exponent prime factors to calculate the LCM of 85547 and 85561.

LCM(85547,85561) = 7¹ × 11² × 101¹ × 17¹ × 719¹
LCM(85547,85561) = 1045640981