What is the Least Common Multiple of 32302 and 32307?

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 32302 and 32307 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 32302 and 32307, than apply into the LCM equation.

GCF(32302,32307) = 1
LCM(32302,32307) = ( 32302 × 32307) / 1
LCM(32302,32307) = 1043580714 / 1
LCM(32302,32307) = 1043580714

Least Common Multiple (LCM) of 32302 and 32307 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 32302 and 32307. First we will calculate the prime factors of 32302 and 32307.

Prime Factorization of 32302

Prime Factorization of 32307

Now multiplying the highest exponent prime factors to calculate the LCM of 32302 and 32307.

LCM(32302,32307) = 2¹ × 31¹ × 521¹ × 3¹ × 11² × 89¹
LCM(32302,32307) = 1043580714