What is the Least Common Multiple of 64785 and 64799?

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 64799 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 64799, than apply into the LCM equation.

GCF(64785,64799) = 7
LCM(64785,64799) = ( 64785 × 64799) / 7
LCM(64785,64799) = 4198003215 / 7
LCM(64785,64799) = 599714745

Least Common Multiple (LCM) of 64785 and 64799 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 64785 and 64799. First we will calculate the prime factors of 64785 and 64799.

Prime Factorization of 64785

Prime Factorization of 64799

Now multiplying the highest exponent prime factors to calculate the LCM of 64785 and 64799.

LCM(64785,64799) = 3¹ × 5¹ × 7¹ × 617¹ × 9257¹
LCM(64785,64799) = 599714745