What is the Least Common Multiple of 57255 and 57266?

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 57255 and 57266 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 57255 and 57266, than apply into the LCM equation.

GCF(57255,57266) = 11
LCM(57255,57266) = ( 57255 × 57266) / 11
LCM(57255,57266) = 3278764830 / 11
LCM(57255,57266) = 298069530

Least Common Multiple (LCM) of 57255 and 57266 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 57255 and 57266. First we will calculate the prime factors of 57255 and 57266.

Prime Factorization of 57255

Prime Factorization of 57266

Now multiplying the highest exponent prime factors to calculate the LCM of 57255 and 57266.

LCM(57255,57266) = 3¹ × 5¹ × 11¹ × 347¹ × 2¹ × 19¹ × 137¹
LCM(57255,57266) = 298069530