What is the Least Common Multiple of 77790 and 77808?

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 77790 and 77808 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 77790 and 77808, than apply into the LCM equation.

GCF(77790,77808) = 6
LCM(77790,77808) = ( 77790 × 77808) / 6
LCM(77790,77808) = 6052684320 / 6
LCM(77790,77808) = 1008780720

Least Common Multiple (LCM) of 77790 and 77808 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 77790 and 77808. First we will calculate the prime factors of 77790 and 77808.

Prime Factorization of 77790

Prime Factorization of 77808

Now multiplying the highest exponent prime factors to calculate the LCM of 77790 and 77808.

LCM(77790,77808) = 2⁴ × 3¹ × 5¹ × 2593¹ × 1621¹
LCM(77790,77808) = 1008780720