What is the Least Common Multiple of 66256 and 66274?

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 66256 and 66274 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 66256 and 66274, than apply into the LCM equation.

GCF(66256,66274) = 2
LCM(66256,66274) = ( 66256 × 66274) / 2
LCM(66256,66274) = 4391050144 / 2
LCM(66256,66274) = 2195525072

Least Common Multiple (LCM) of 66256 and 66274 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 66256 and 66274. First we will calculate the prime factors of 66256 and 66274.

Prime Factorization of 66256

Prime Factorization of 66274

Now multiplying the highest exponent prime factors to calculate the LCM of 66256 and 66274.

LCM(66256,66274) = 2⁴ × 41¹ × 101¹ × 13¹ × 2549¹
LCM(66256,66274) = 2195525072