What is the Least Common Multiple of 62288 and 62305?

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 62288 and 62305 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 62288 and 62305, than apply into the LCM equation.

GCF(62288,62305) = 17
LCM(62288,62305) = ( 62288 × 62305) / 17
LCM(62288,62305) = 3880853840 / 17
LCM(62288,62305) = 228285520

Least Common Multiple (LCM) of 62288 and 62305 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 62288 and 62305. First we will calculate the prime factors of 62288 and 62305.

Prime Factorization of 62288

Prime Factorization of 62305

Now multiplying the highest exponent prime factors to calculate the LCM of 62288 and 62305.

LCM(62288,62305) = 2⁴ × 17¹ × 229¹ × 5¹ × 733¹
LCM(62288,62305) = 228285520