What is the Least Common Multiple of 64821 and 64830?

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 64830 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 64830, than apply into the LCM equation.

GCF(64821,64830) = 3
LCM(64821,64830) = ( 64821 × 64830) / 3
LCM(64821,64830) = 4202345430 / 3
LCM(64821,64830) = 1400781810

Least Common Multiple (LCM) of 64821 and 64830 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 64821 and 64830. First we will calculate the prime factors of 64821 and 64830.

Prime Factorization of 64821

Prime Factorization of 64830

Now multiplying the highest exponent prime factors to calculate the LCM of 64821 and 64830.

LCM(64821,64830) = 3¹ × 17¹ × 31¹ × 41¹ × 2¹ × 5¹ × 2161¹
LCM(64821,64830) = 1400781810