What is the Least Common Multiple of 67812 and 67822?

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 67812 and 67822 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 67812 and 67822, than apply into the LCM equation.

GCF(67812,67822) = 2
LCM(67812,67822) = ( 67812 × 67822) / 2
LCM(67812,67822) = 4599145464 / 2
LCM(67812,67822) = 2299572732

Least Common Multiple (LCM) of 67812 and 67822 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 67812 and 67822. First we will calculate the prime factors of 67812 and 67822.

Prime Factorization of 67812

Prime Factorization of 67822

Now multiplying the highest exponent prime factors to calculate the LCM of 67812 and 67822.

LCM(67812,67822) = 2² × 3¹ × 5651¹ × 33911¹
LCM(67812,67822) = 2299572732