What is the Least Common Multiple of 32298 and 32313?

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 32298 and 32313 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 32298 and 32313, than apply into the LCM equation.

GCF(32298,32313) = 3
LCM(32298,32313) = ( 32298 × 32313) / 3
LCM(32298,32313) = 1043645274 / 3
LCM(32298,32313) = 347881758

Least Common Multiple (LCM) of 32298 and 32313 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 32298 and 32313. First we will calculate the prime factors of 32298 and 32313.

Prime Factorization of 32298

Prime Factorization of 32313

Now multiplying the highest exponent prime factors to calculate the LCM of 32298 and 32313.

LCM(32298,32313) = 2¹ × 3¹ × 7¹ × 769¹ × 10771¹
LCM(32298,32313) = 347881758