What is the Least Common Multiple of 56845 and 56865?

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 56845 and 56865 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 56845 and 56865, than apply into the LCM equation.

GCF(56845,56865) = 5
LCM(56845,56865) = ( 56845 × 56865) / 5
LCM(56845,56865) = 3232490925 / 5
LCM(56845,56865) = 646498185

Least Common Multiple (LCM) of 56845 and 56865 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 56845 and 56865. First we will calculate the prime factors of 56845 and 56865.

Prime Factorization of 56845

Prime Factorization of 56865

Now multiplying the highest exponent prime factors to calculate the LCM of 56845 and 56865.

LCM(56845,56865) = 5¹ × 11369¹ × 3¹ × 17¹ × 223¹
LCM(56845,56865) = 646498185