What is the Least Common Multiple of 30576 and 30583?

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 30576 and 30583 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 30576 and 30583, than apply into the LCM equation.

GCF(30576,30583) = 7
LCM(30576,30583) = ( 30576 × 30583) / 7
LCM(30576,30583) = 935105808 / 7
LCM(30576,30583) = 133586544

Least Common Multiple (LCM) of 30576 and 30583 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 30576 and 30583. First we will calculate the prime factors of 30576 and 30583.

Prime Factorization of 30576

Prime Factorization of 30583

Now multiplying the highest exponent prime factors to calculate the LCM of 30576 and 30583.

LCM(30576,30583) = 2⁴ × 3¹ × 7² × 13¹ × 17¹ × 257¹
LCM(30576,30583) = 133586544