What is the Least Common Multiple of 64821 and 64836?

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 64821 and 64836 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 64821 and 64836, than apply into the LCM equation.

GCF(64821,64836) = 3
LCM(64821,64836) = ( 64821 × 64836) / 3
LCM(64821,64836) = 4202734356 / 3
LCM(64821,64836) = 1400911452

Least Common Multiple (LCM) of 64821 and 64836 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 64821 and 64836. First we will calculate the prime factors of 64821 and 64836.

Prime Factorization of 64821

Prime Factorization of 64836

Now multiplying the highest exponent prime factors to calculate the LCM of 64821 and 64836.

LCM(64821,64836) = 3² × 17¹ × 31¹ × 41¹ × 2² × 1801¹
LCM(64821,64836) = 1400911452