What is the Least Common Multiple of 64770 and 64785?

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 64770 and 64785 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 64770 and 64785, than apply into the LCM equation.

GCF(64770,64785) = 15
LCM(64770,64785) = ( 64770 × 64785) / 15
LCM(64770,64785) = 4196124450 / 15
LCM(64770,64785) = 279741630

Least Common Multiple (LCM) of 64770 and 64785 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 64770 and 64785. First we will calculate the prime factors of 64770 and 64785.

Prime Factorization of 64770

Prime Factorization of 64785

Now multiplying the highest exponent prime factors to calculate the LCM of 64770 and 64785.

LCM(64770,64785) = 2¹ × 3¹ × 5¹ × 17¹ × 127¹ × 7¹ × 617¹
LCM(64770,64785) = 279741630