What is the Least Common Multiple of 64785 and 64803?

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 64785 and 64803 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 64785 and 64803, than apply into the LCM equation.

GCF(64785,64803) = 3
LCM(64785,64803) = ( 64785 × 64803) / 3
LCM(64785,64803) = 4198262355 / 3
LCM(64785,64803) = 1399420785

Least Common Multiple (LCM) of 64785 and 64803 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 64785 and 64803. First we will calculate the prime factors of 64785 and 64803.

Prime Factorization of 64785

Prime Factorization of 64803

Now multiplying the highest exponent prime factors to calculate the LCM of 64785 and 64803.

LCM(64785,64803) = 3¹ × 5¹ × 7¹ × 617¹ × 21601¹
LCM(64785,64803) = 1399420785