What is the Least Common Multiple of 64838 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 64838 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 64838 and 64845, than apply into the LCM equation.

GCF(64838,64845) = 1
LCM(64838,64845) = ( 64838 × 64845) / 1
LCM(64838,64845) = 4204420110 / 1
LCM(64838,64845) = 4204420110

Least Common Multiple (LCM) of 64838 and 64845 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 64838 and 64845. First we will calculate the prime factors of 64838 and 64845.

Prime Factorization of 64838

Prime Factorization of 64845

Now multiplying the highest exponent prime factors to calculate the LCM of 64838 and 64845.

LCM(64838,64845) = 2¹ × 17¹ × 1907¹ × 3² × 5¹ × 11¹ × 131¹
LCM(64838,64845) = 4204420110