What is the Least Common Multiple of 30640 and 30647?

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 30640 and 30647 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 30640 and 30647, than apply into the LCM equation.

GCF(30640,30647) = 1
LCM(30640,30647) = ( 30640 × 30647) / 1
LCM(30640,30647) = 939024080 / 1
LCM(30640,30647) = 939024080

Least Common Multiple (LCM) of 30640 and 30647 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 30640 and 30647. First we will calculate the prime factors of 30640 and 30647.

Prime Factorization of 30640

Prime Factorization of 30647

Now multiplying the highest exponent prime factors to calculate the LCM of 30640 and 30647.

LCM(30640,30647) = 2⁴ × 5¹ × 383¹ × 19¹ × 1613¹
LCM(30640,30647) = 939024080