What is the Least Common Multiple of 64838 and 64846?

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 64846 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 64846, than apply into the LCM equation.

GCF(64838,64846) = 2
LCM(64838,64846) = ( 64838 × 64846) / 2
LCM(64838,64846) = 4204484948 / 2
LCM(64838,64846) = 2102242474

Least Common Multiple (LCM) of 64838 and 64846 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 64838 and 64846. First we will calculate the prime factors of 64838 and 64846.

Prime Factorization of 64838

Prime Factorization of 64846

Now multiplying the highest exponent prime factors to calculate the LCM of 64838 and 64846.

LCM(64838,64846) = 2¹ × 17¹ × 1907¹ × 32423¹
LCM(64838,64846) = 2102242474