What is the Least Common Multiple of 27702 and 27707?

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 27702 and 27707 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 27702 and 27707, than apply into the LCM equation.

GCF(27702,27707) = 1
LCM(27702,27707) = ( 27702 × 27707) / 1
LCM(27702,27707) = 767539314 / 1
LCM(27702,27707) = 767539314

Least Common Multiple (LCM) of 27702 and 27707 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 27702 and 27707. First we will calculate the prime factors of 27702 and 27707.

Prime Factorization of 27702

Prime Factorization of 27707

Now multiplying the highest exponent prime factors to calculate the LCM of 27702 and 27707.

LCM(27702,27707) = 2¹ × 3⁶ × 19¹ × 103¹ × 269¹
LCM(27702,27707) = 767539314