What is the Least Common Multiple of 55774 and 55786?

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 55774 and 55786 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 55774 and 55786, than apply into the LCM equation.

GCF(55774,55786) = 2
LCM(55774,55786) = ( 55774 × 55786) / 2
LCM(55774,55786) = 3111408364 / 2
LCM(55774,55786) = 1555704182

Least Common Multiple (LCM) of 55774 and 55786 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 55774 and 55786. First we will calculate the prime factors of 55774 and 55786.

Prime Factorization of 55774

Prime Factorization of 55786

Now multiplying the highest exponent prime factors to calculate the LCM of 55774 and 55786.

LCM(55774,55786) = 2¹ × 79¹ × 353¹ × 27893¹
LCM(55774,55786) = 1555704182