What is the Least Common Multiple of 64750 and 64770?

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 64750 and 64770 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 64750 and 64770, than apply into the LCM equation.

GCF(64750,64770) = 10
LCM(64750,64770) = ( 64750 × 64770) / 10
LCM(64750,64770) = 4193857500 / 10
LCM(64750,64770) = 419385750

Least Common Multiple (LCM) of 64750 and 64770 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 64750 and 64770. First we will calculate the prime factors of 64750 and 64770.

Prime Factorization of 64750

Prime Factorization of 64770

Now multiplying the highest exponent prime factors to calculate the LCM of 64750 and 64770.

LCM(64750,64770) = 2¹ × 5³ × 7¹ × 37¹ × 3¹ × 17¹ × 127¹
LCM(64750,64770) = 419385750