What is the Least Common Multiple of 23078 and 23095?

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 23078 and 23095 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 23078 and 23095, than apply into the LCM equation.

GCF(23078,23095) = 1
LCM(23078,23095) = ( 23078 × 23095) / 1
LCM(23078,23095) = 532986410 / 1
LCM(23078,23095) = 532986410

Least Common Multiple (LCM) of 23078 and 23095 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 23078 and 23095. First we will calculate the prime factors of 23078 and 23095.

Prime Factorization of 23078

Prime Factorization of 23095

Now multiplying the highest exponent prime factors to calculate the LCM of 23078 and 23095.

LCM(23078,23095) = 2¹ × 11¹ × 1049¹ × 5¹ × 31¹ × 149¹
LCM(23078,23095) = 532986410