What is the Least Common Multiple of 17278 and 17295?

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 17278 and 17295 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 17278 and 17295, than apply into the LCM equation.

GCF(17278,17295) = 1
LCM(17278,17295) = ( 17278 × 17295) / 1
LCM(17278,17295) = 298823010 / 1
LCM(17278,17295) = 298823010

Least Common Multiple (LCM) of 17278 and 17295 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 17278 and 17295. First we will calculate the prime factors of 17278 and 17295.

Prime Factorization of 17278

Prime Factorization of 17295

Now multiplying the highest exponent prime factors to calculate the LCM of 17278 and 17295.

LCM(17278,17295) = 2¹ × 53¹ × 163¹ × 3¹ × 5¹ × 1153¹
LCM(17278,17295) = 298823010