What is the Least Common Multiple of 64829 and 64845?

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 64829 and 64845 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 64829 and 64845, than apply into the LCM equation.

GCF(64829,64845) = 1
LCM(64829,64845) = ( 64829 × 64845) / 1
LCM(64829,64845) = 4203836505 / 1
LCM(64829,64845) = 4203836505

Least Common Multiple (LCM) of 64829 and 64845 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 64829 and 64845. First we will calculate the prime factors of 64829 and 64845.

Prime Factorization of 64829

Prime Factorization of 64845

Now multiplying the highest exponent prime factors to calculate the LCM of 64829 and 64845.

LCM(64829,64845) = 241¹ × 269¹ × 3² × 5¹ × 11¹ × 131¹
LCM(64829,64845) = 4203836505