What is the Least Common Multiple of 69808 and 69828?

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 69808 and 69828 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 69808 and 69828, than apply into the LCM equation.

GCF(69808,69828) = 4
LCM(69808,69828) = ( 69808 × 69828) / 4
LCM(69808,69828) = 4874553024 / 4
LCM(69808,69828) = 1218638256

Least Common Multiple (LCM) of 69808 and 69828 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 69808 and 69828. First we will calculate the prime factors of 69808 and 69828.

Prime Factorization of 69808

Prime Factorization of 69828

Now multiplying the highest exponent prime factors to calculate the LCM of 69808 and 69828.

LCM(69808,69828) = 2⁴ × 4363¹ × 3¹ × 11¹ × 23²
LCM(69808,69828) = 1218638256