What is the Least Common Multiple of 69644 and 69660?

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 69644 and 69660 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 69644 and 69660, than apply into the LCM equation.

GCF(69644,69660) = 4
LCM(69644,69660) = ( 69644 × 69660) / 4
LCM(69644,69660) = 4851401040 / 4
LCM(69644,69660) = 1212850260

Least Common Multiple (LCM) of 69644 and 69660 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 69644 and 69660. First we will calculate the prime factors of 69644 and 69660.

Prime Factorization of 69644

Prime Factorization of 69660

Now multiplying the highest exponent prime factors to calculate the LCM of 69644 and 69660.

LCM(69644,69660) = 2² × 23¹ × 757¹ × 3⁴ × 5¹ × 43¹
LCM(69644,69660) = 1212850260