What is the Least Common Multiple of 67743 and 67747?

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 67743 and 67747 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 67743 and 67747, than apply into the LCM equation.

GCF(67743,67747) = 1
LCM(67743,67747) = ( 67743 × 67747) / 1
LCM(67743,67747) = 4589385021 / 1
LCM(67743,67747) = 4589385021

Least Common Multiple (LCM) of 67743 and 67747 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 67743 and 67747. First we will calculate the prime factors of 67743 and 67747.

Prime Factorization of 67743

Prime Factorization of 67747

Now multiplying the highest exponent prime factors to calculate the LCM of 67743 and 67747.

LCM(67743,67747) = 3³ × 13¹ × 193¹ × 37¹ × 1831¹
LCM(67743,67747) = 4589385021