What is the Least Common Multiple of 69664 and 69674?

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 69664 and 69674 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 69664 and 69674, than apply into the LCM equation.

GCF(69664,69674) = 2
LCM(69664,69674) = ( 69664 × 69674) / 2
LCM(69664,69674) = 4853769536 / 2
LCM(69664,69674) = 2426884768

Least Common Multiple (LCM) of 69664 and 69674 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 69664 and 69674. First we will calculate the prime factors of 69664 and 69674.

Prime Factorization of 69664

Prime Factorization of 69674

Now multiplying the highest exponent prime factors to calculate the LCM of 69664 and 69674.

LCM(69664,69674) = 2⁵ × 7¹ × 311¹ × 11¹ × 3167¹
LCM(69664,69674) = 2426884768