What is the Least Common Multiple of 69201 and 69221?

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 69201 and 69221 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 69201 and 69221, than apply into the LCM equation.

GCF(69201,69221) = 1
LCM(69201,69221) = ( 69201 × 69221) / 1
LCM(69201,69221) = 4790162421 / 1
LCM(69201,69221) = 4790162421

Least Common Multiple (LCM) of 69201 and 69221 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 69201 and 69221. First we will calculate the prime factors of 69201 and 69221.

Prime Factorization of 69201

Prime Factorization of 69221

Now multiplying the highest exponent prime factors to calculate the LCM of 69201 and 69221.

LCM(69201,69221) = 3³ × 11¹ × 233¹ × 69221¹
LCM(69201,69221) = 4790162421