What is the Least Common Multiple of 85785 and 85803?

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 85785 and 85803 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 85785 and 85803, than apply into the LCM equation.

GCF(85785,85803) = 3
LCM(85785,85803) = ( 85785 × 85803) / 3
LCM(85785,85803) = 7360610355 / 3
LCM(85785,85803) = 2453536785

Least Common Multiple (LCM) of 85785 and 85803 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 85785 and 85803. First we will calculate the prime factors of 85785 and 85803.

Prime Factorization of 85785

Prime Factorization of 85803

Now multiplying the highest exponent prime factors to calculate the LCM of 85785 and 85803.

LCM(85785,85803) = 3¹ × 5¹ × 7¹ × 19¹ × 43¹ × 37¹ × 773¹
LCM(85785,85803) = 2453536785