What is the Least Common Multiple of 55782 and 55787?

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 55782 and 55787 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 55782 and 55787, than apply into the LCM equation.

GCF(55782,55787) = 1
LCM(55782,55787) = ( 55782 × 55787) / 1
LCM(55782,55787) = 3111910434 / 1
LCM(55782,55787) = 3111910434

Least Common Multiple (LCM) of 55782 and 55787 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 55782 and 55787. First we will calculate the prime factors of 55782 and 55787.

Prime Factorization of 55782

Prime Factorization of 55787

Now multiplying the highest exponent prime factors to calculate the LCM of 55782 and 55787.

LCM(55782,55787) = 2¹ × 3³ × 1033¹ × 55787¹
LCM(55782,55787) = 3111910434