What is the Least Common Multiple of 64810 and 64822?

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 64810 and 64822 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 64810 and 64822, than apply into the LCM equation.

GCF(64810,64822) = 2
LCM(64810,64822) = ( 64810 × 64822) / 2
LCM(64810,64822) = 4201113820 / 2
LCM(64810,64822) = 2100556910

Least Common Multiple (LCM) of 64810 and 64822 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 64810 and 64822. First we will calculate the prime factors of 64810 and 64822.

Prime Factorization of 64810

Prime Factorization of 64822

Now multiplying the highest exponent prime factors to calculate the LCM of 64810 and 64822.

LCM(64810,64822) = 2¹ × 5¹ × 6481¹ × 32411¹
LCM(64810,64822) = 2100556910