What is the Least Common Multiple of 76814 and 76822?

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 76814 and 76822 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 76814 and 76822, than apply into the LCM equation.

GCF(76814,76822) = 2
LCM(76814,76822) = ( 76814 × 76822) / 2
LCM(76814,76822) = 5901005108 / 2
LCM(76814,76822) = 2950502554

Least Common Multiple (LCM) of 76814 and 76822 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 76814 and 76822. First we will calculate the prime factors of 76814 and 76822.

Prime Factorization of 76814

Prime Factorization of 76822

Now multiplying the highest exponent prime factors to calculate the LCM of 76814 and 76822.

LCM(76814,76822) = 2¹ × 193¹ × 199¹ × 71¹ × 541¹
LCM(76814,76822) = 2950502554