What is the Least Common Multiple of 69214 and 69230?

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 69214 and 69230 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 69214 and 69230, than apply into the LCM equation.

GCF(69214,69230) = 2
LCM(69214,69230) = ( 69214 × 69230) / 2
LCM(69214,69230) = 4791685220 / 2
LCM(69214,69230) = 2395842610

Least Common Multiple (LCM) of 69214 and 69230 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 69214 and 69230. First we will calculate the prime factors of 69214 and 69230.

Prime Factorization of 69214

Prime Factorization of 69230

Now multiplying the highest exponent prime factors to calculate the LCM of 69214 and 69230.

LCM(69214,69230) = 2¹ × 34607¹ × 5¹ × 7¹ × 23¹ × 43¹
LCM(69214,69230) = 2395842610