What is the Least Common Multiple of 23678 and 23695?

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 23678 and 23695 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 23678 and 23695, than apply into the LCM equation.

GCF(23678,23695) = 1
LCM(23678,23695) = ( 23678 × 23695) / 1
LCM(23678,23695) = 561050210 / 1
LCM(23678,23695) = 561050210

Least Common Multiple (LCM) of 23678 and 23695 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 23678 and 23695. First we will calculate the prime factors of 23678 and 23695.

Prime Factorization of 23678

Prime Factorization of 23695

Now multiplying the highest exponent prime factors to calculate the LCM of 23678 and 23695.

LCM(23678,23695) = 2¹ × 11839¹ × 5¹ × 7¹ × 677¹
LCM(23678,23695) = 561050210