What is the Least Common Multiple of 62306 and 62318?

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 62306 and 62318 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 62306 and 62318, than apply into the LCM equation.

GCF(62306,62318) = 2
LCM(62306,62318) = ( 62306 × 62318) / 2
LCM(62306,62318) = 3882785308 / 2
LCM(62306,62318) = 1941392654

Least Common Multiple (LCM) of 62306 and 62318 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 62306 and 62318. First we will calculate the prime factors of 62306 and 62318.

Prime Factorization of 62306

Prime Factorization of 62318

Now multiplying the highest exponent prime factors to calculate the LCM of 62306 and 62318.

LCM(62306,62318) = 2¹ × 31153¹ × 31159¹
LCM(62306,62318) = 1941392654