What is the Least Common Multiple of 69200 and 69208?

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 69200 and 69208 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 69200 and 69208, than apply into the LCM equation.

GCF(69200,69208) = 8
LCM(69200,69208) = ( 69200 × 69208) / 8
LCM(69200,69208) = 4789193600 / 8
LCM(69200,69208) = 598649200

Least Common Multiple (LCM) of 69200 and 69208 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 69200 and 69208. First we will calculate the prime factors of 69200 and 69208.

Prime Factorization of 69200

Prime Factorization of 69208

Now multiplying the highest exponent prime factors to calculate the LCM of 69200 and 69208.

LCM(69200,69208) = 2⁴ × 5² × 173¹ × 41¹ × 211¹
LCM(69200,69208) = 598649200