What is the Least Common Multiple of 69488 and 69506?

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 69488 and 69506 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 69488 and 69506, than apply into the LCM equation.

GCF(69488,69506) = 2
LCM(69488,69506) = ( 69488 × 69506) / 2
LCM(69488,69506) = 4829832928 / 2
LCM(69488,69506) = 2414916464

Least Common Multiple (LCM) of 69488 and 69506 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 69488 and 69506. First we will calculate the prime factors of 69488 and 69506.

Prime Factorization of 69488

Prime Factorization of 69506

Now multiplying the highest exponent prime factors to calculate the LCM of 69488 and 69506.

LCM(69488,69506) = 2⁴ × 43¹ × 101¹ × 23¹ × 1511¹
LCM(69488,69506) = 2414916464