What is the Least Common Multiple of 66257 and 66271?

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 66257 and 66271 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 66257 and 66271, than apply into the LCM equation.

GCF(66257,66271) = 1
LCM(66257,66271) = ( 66257 × 66271) / 1
LCM(66257,66271) = 4390917647 / 1
LCM(66257,66271) = 4390917647

Least Common Multiple (LCM) of 66257 and 66271 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 66257 and 66271. First we will calculate the prime factors of 66257 and 66271.

Prime Factorization of 66257

Prime Factorization of 66271

Now multiplying the highest exponent prime factors to calculate the LCM of 66257 and 66271.

LCM(66257,66271) = 59¹ × 1123¹ × 66271¹
LCM(66257,66271) = 4390917647