What is the Least Common Multiple of 77808 and 77822?

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 77808 and 77822 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 77808 and 77822, than apply into the LCM equation.

GCF(77808,77822) = 2
LCM(77808,77822) = ( 77808 × 77822) / 2
LCM(77808,77822) = 6055174176 / 2
LCM(77808,77822) = 3027587088

Least Common Multiple (LCM) of 77808 and 77822 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 77808 and 77822. First we will calculate the prime factors of 77808 and 77822.

Prime Factorization of 77808

Prime Factorization of 77822

Now multiplying the highest exponent prime factors to calculate the LCM of 77808 and 77822.

LCM(77808,77822) = 2⁴ × 3¹ × 1621¹ × 167¹ × 233¹
LCM(77808,77822) = 3027587088