What is the Least Common Multiple of 66049 and 66069?

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 66049 and 66069 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 66049 and 66069, than apply into the LCM equation.

GCF(66049,66069) = 1
LCM(66049,66069) = ( 66049 × 66069) / 1
LCM(66049,66069) = 4363791381 / 1
LCM(66049,66069) = 4363791381

Least Common Multiple (LCM) of 66049 and 66069 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 66049 and 66069. First we will calculate the prime factors of 66049 and 66069.

Prime Factorization of 66049

Prime Factorization of 66069

Now multiplying the highest exponent prime factors to calculate the LCM of 66049 and 66069.

LCM(66049,66069) = 257² × 3³ × 2447¹
LCM(66049,66069) = 4363791381