What is the Least Common Multiple of 81238 and 81255?

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 81238 and 81255 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 81238 and 81255, than apply into the LCM equation.

GCF(81238,81255) = 1
LCM(81238,81255) = ( 81238 × 81255) / 1
LCM(81238,81255) = 6600993690 / 1
LCM(81238,81255) = 6600993690

Least Common Multiple (LCM) of 81238 and 81255 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 81238 and 81255. First we will calculate the prime factors of 81238 and 81255.

Prime Factorization of 81238

Prime Factorization of 81255

Now multiplying the highest exponent prime factors to calculate the LCM of 81238 and 81255.

LCM(81238,81255) = 2¹ × 151¹ × 269¹ × 3¹ × 5¹ × 5417¹
LCM(81238,81255) = 6600993690