What is the Least Common Multiple of 77605 and 77618?

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 77605 and 77618 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 77605 and 77618, than apply into the LCM equation.

GCF(77605,77618) = 1
LCM(77605,77618) = ( 77605 × 77618) / 1
LCM(77605,77618) = 6023544890 / 1
LCM(77605,77618) = 6023544890

Least Common Multiple (LCM) of 77605 and 77618 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 77605 and 77618. First we will calculate the prime factors of 77605 and 77618.

Prime Factorization of 77605

Prime Factorization of 77618

Now multiplying the highest exponent prime factors to calculate the LCM of 77605 and 77618.

LCM(77605,77618) = 5¹ × 11¹ × 17¹ × 83¹ × 2¹ × 197²
LCM(77605,77618) = 6023544890