What is the Least Common Multiple of 69632 and 69649?

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 69632 and 69649 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 69632 and 69649, than apply into the LCM equation.

GCF(69632,69649) = 17
LCM(69632,69649) = ( 69632 × 69649) / 17
LCM(69632,69649) = 4849799168 / 17
LCM(69632,69649) = 285282304

Least Common Multiple (LCM) of 69632 and 69649 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 69632 and 69649. First we will calculate the prime factors of 69632 and 69649.

Prime Factorization of 69632

Prime Factorization of 69649

Now multiplying the highest exponent prime factors to calculate the LCM of 69632 and 69649.

LCM(69632,69649) = 2¹² × 17² × 241¹
LCM(69632,69649) = 285282304