What is the Least Common Multiple of 69724 and 69734?

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 69724 and 69734 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 69724 and 69734, than apply into the LCM equation.

GCF(69724,69734) = 2
LCM(69724,69734) = ( 69724 × 69734) / 2
LCM(69724,69734) = 4862133416 / 2
LCM(69724,69734) = 2431066708

Least Common Multiple (LCM) of 69724 and 69734 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 69724 and 69734. First we will calculate the prime factors of 69724 and 69734.

Prime Factorization of 69724

Prime Factorization of 69734

Now multiplying the highest exponent prime factors to calculate the LCM of 69724 and 69734.

LCM(69724,69734) = 2² × 17431¹ × 7¹ × 17¹ × 293¹
LCM(69724,69734) = 2431066708