What is the Least Common Multiple of 69500 and 69505?

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 69500 and 69505 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 69500 and 69505, than apply into the LCM equation.

GCF(69500,69505) = 5
LCM(69500,69505) = ( 69500 × 69505) / 5
LCM(69500,69505) = 4830597500 / 5
LCM(69500,69505) = 966119500

Least Common Multiple (LCM) of 69500 and 69505 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 69500 and 69505. First we will calculate the prime factors of 69500 and 69505.

Prime Factorization of 69500

Prime Factorization of 69505

Now multiplying the highest exponent prime factors to calculate the LCM of 69500 and 69505.

LCM(69500,69505) = 2² × 5³ × 139¹ × 13901¹
LCM(69500,69505) = 966119500