What is the Least Common Multiple of 69625 and 69636?

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 69625 and 69636 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 69625 and 69636, than apply into the LCM equation.

GCF(69625,69636) = 1
LCM(69625,69636) = ( 69625 × 69636) / 1
LCM(69625,69636) = 4848406500 / 1
LCM(69625,69636) = 4848406500

Least Common Multiple (LCM) of 69625 and 69636 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 69625 and 69636. First we will calculate the prime factors of 69625 and 69636.

Prime Factorization of 69625

Prime Factorization of 69636

Now multiplying the highest exponent prime factors to calculate the LCM of 69625 and 69636.

LCM(69625,69636) = 5³ × 557¹ × 2² × 3¹ × 7¹ × 829¹
LCM(69625,69636) = 4848406500