What is the Least Common Multiple of 83623 and 83635?

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 83623 and 83635 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 83623 and 83635, than apply into the LCM equation.

GCF(83623,83635) = 1
LCM(83623,83635) = ( 83623 × 83635) / 1
LCM(83623,83635) = 6993809605 / 1
LCM(83623,83635) = 6993809605

Least Common Multiple (LCM) of 83623 and 83635 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 83623 and 83635. First we will calculate the prime factors of 83623 and 83635.

Prime Factorization of 83623

Prime Factorization of 83635

Now multiplying the highest exponent prime factors to calculate the LCM of 83623 and 83635.

LCM(83623,83635) = 17¹ × 4919¹ × 5¹ × 43¹ × 389¹
LCM(83623,83635) = 6993809605