What is the Least Common Multiple of 64740 and 64745?

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 64740 and 64745 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 64740 and 64745, than apply into the LCM equation.

GCF(64740,64745) = 5
LCM(64740,64745) = ( 64740 × 64745) / 5
LCM(64740,64745) = 4191591300 / 5
LCM(64740,64745) = 838318260

Least Common Multiple (LCM) of 64740 and 64745 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 64740 and 64745. First we will calculate the prime factors of 64740 and 64745.

Prime Factorization of 64740

Prime Factorization of 64745

Now multiplying the highest exponent prime factors to calculate the LCM of 64740 and 64745.

LCM(64740,64745) = 2² × 3¹ × 5¹ × 13¹ × 83¹ × 23¹ × 563¹
LCM(64740,64745) = 838318260