What is the Least Common Multiple of 95500 and 95518?

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 95500 and 95518 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 95500 and 95518, than apply into the LCM equation.

GCF(95500,95518) = 2
LCM(95500,95518) = ( 95500 × 95518) / 2
LCM(95500,95518) = 9121969000 / 2
LCM(95500,95518) = 4560984500

Least Common Multiple (LCM) of 95500 and 95518 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 95500 and 95518. First we will calculate the prime factors of 95500 and 95518.

Prime Factorization of 95500

Prime Factorization of 95518

Now multiplying the highest exponent prime factors to calculate the LCM of 95500 and 95518.

LCM(95500,95518) = 2² × 5³ × 191¹ × 163¹ × 293¹
LCM(95500,95518) = 4560984500