What is the Least Common Multiple of 69632 and 69638?

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 69638 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 69638, than apply into the LCM equation.

GCF(69632,69638) = 2
LCM(69632,69638) = ( 69632 × 69638) / 2
LCM(69632,69638) = 4849033216 / 2
LCM(69632,69638) = 2424516608

Least Common Multiple (LCM) of 69632 and 69638 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 69632 and 69638. First we will calculate the prime factors of 69632 and 69638.

Prime Factorization of 69632

Prime Factorization of 69638

Now multiplying the highest exponent prime factors to calculate the LCM of 69632 and 69638.

LCM(69632,69638) = 2¹² × 17¹ × 34819¹
LCM(69632,69638) = 2424516608