What is the Least Common Multiple of 95690 and 95695?

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 95690 and 95695 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 95690 and 95695, than apply into the LCM equation.

GCF(95690,95695) = 5
LCM(95690,95695) = ( 95690 × 95695) / 5
LCM(95690,95695) = 9157054550 / 5
LCM(95690,95695) = 1831410910

Least Common Multiple (LCM) of 95690 and 95695 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 95690 and 95695. First we will calculate the prime factors of 95690 and 95695.

Prime Factorization of 95690

Prime Factorization of 95695

Now multiplying the highest exponent prime factors to calculate the LCM of 95690 and 95695.

LCM(95690,95695) = 2¹ × 5¹ × 7¹ × 1367¹ × 19139¹
LCM(95690,95695) = 1831410910