What is the Least Common Multiple of 62305 and 62314?

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 62305 and 62314 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 62305 and 62314, than apply into the LCM equation.

GCF(62305,62314) = 1
LCM(62305,62314) = ( 62305 × 62314) / 1
LCM(62305,62314) = 3882473770 / 1
LCM(62305,62314) = 3882473770

Least Common Multiple (LCM) of 62305 and 62314 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 62305 and 62314. First we will calculate the prime factors of 62305 and 62314.

Prime Factorization of 62305

Prime Factorization of 62314

Now multiplying the highest exponent prime factors to calculate the LCM of 62305 and 62314.

LCM(62305,62314) = 5¹ × 17¹ × 733¹ × 2¹ × 7¹ × 4451¹
LCM(62305,62314) = 3882473770