What is the Least Common Multiple of 69296 and 69307?

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 69296 and 69307 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 69296 and 69307, than apply into the LCM equation.

GCF(69296,69307) = 1
LCM(69296,69307) = ( 69296 × 69307) / 1
LCM(69296,69307) = 4802697872 / 1
LCM(69296,69307) = 4802697872

Least Common Multiple (LCM) of 69296 and 69307 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 69296 and 69307. First we will calculate the prime factors of 69296 and 69307.

Prime Factorization of 69296

Prime Factorization of 69307

Now multiplying the highest exponent prime factors to calculate the LCM of 69296 and 69307.

LCM(69296,69307) = 2⁴ × 61¹ × 71¹ × 7¹ × 9901¹
LCM(69296,69307) = 4802697872