What is the Least Common Multiple of 3257 and 3277?

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 3257 and 3277 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3257 and 3277, than apply into the LCM equation.

GCF(3257,3277) = 1
LCM(3257,3277) = ( 3257 × 3277) / 1
LCM(3257,3277) = 10673189 / 1
LCM(3257,3277) = 10673189

Least Common Multiple (LCM) of 3257 and 3277 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 3257 and 3277. First we will calculate the prime factors of 3257 and 3277.

Prime Factorization of 3257

Prime Factorization of 3277

Now multiplying the highest exponent prime factors to calculate the LCM of 3257 and 3277.

LCM(3257,3277) = 3257¹ × 29¹ × 113¹
LCM(3257,3277) = 10673189