What is the Least Common Multiple of 77286 and 77306?

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 77286 and 77306 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 77286 and 77306, than apply into the LCM equation.

GCF(77286,77306) = 2
LCM(77286,77306) = ( 77286 × 77306) / 2
LCM(77286,77306) = 5974671516 / 2
LCM(77286,77306) = 2987335758

Least Common Multiple (LCM) of 77286 and 77306 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 77286 and 77306. First we will calculate the prime factors of 77286 and 77306.

Prime Factorization of 77286

Prime Factorization of 77306

Now multiplying the highest exponent prime factors to calculate the LCM of 77286 and 77306.

LCM(77286,77306) = 2¹ × 3¹ × 11¹ × 1171¹ × 38653¹
LCM(77286,77306) = 2987335758