What is the Least Common Multiple of 95802 and 95815?

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 95802 and 95815 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 95802 and 95815, than apply into the LCM equation.

GCF(95802,95815) = 1
LCM(95802,95815) = ( 95802 × 95815) / 1
LCM(95802,95815) = 9179268630 / 1
LCM(95802,95815) = 9179268630

Least Common Multiple (LCM) of 95802 and 95815 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 95802 and 95815. First we will calculate the prime factors of 95802 and 95815.

Prime Factorization of 95802

Prime Factorization of 95815

Now multiplying the highest exponent prime factors to calculate the LCM of 95802 and 95815.

LCM(95802,95815) = 2¹ × 3¹ × 7¹ × 2281¹ × 5¹ × 19163¹
LCM(95802,95815) = 9179268630