What is the Least Common Multiple of 64665 and 64685?

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 64665 and 64685 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 64665 and 64685, than apply into the LCM equation.

GCF(64665,64685) = 5
LCM(64665,64685) = ( 64665 × 64685) / 5
LCM(64665,64685) = 4182855525 / 5
LCM(64665,64685) = 836571105

Least Common Multiple (LCM) of 64665 and 64685 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 64665 and 64685. First we will calculate the prime factors of 64665 and 64685.

Prime Factorization of 64665

Prime Factorization of 64685

Now multiplying the highest exponent prime factors to calculate the LCM of 64665 and 64685.

LCM(64665,64685) = 3³ × 5¹ × 479¹ × 17¹ × 761¹
LCM(64665,64685) = 836571105