What is the Least Common Multiple of 30640 and 30646?

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 30646 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 30646, than apply into the LCM equation.

GCF(30640,30646) = 2
LCM(30640,30646) = ( 30640 × 30646) / 2
LCM(30640,30646) = 938993440 / 2
LCM(30640,30646) = 469496720

Least Common Multiple (LCM) of 30640 and 30646 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 30640 and 30646. First we will calculate the prime factors of 30640 and 30646.

Prime Factorization of 30640

Prime Factorization of 30646

Now multiplying the highest exponent prime factors to calculate the LCM of 30640 and 30646.

LCM(30640,30646) = 2⁴ × 5¹ × 383¹ × 7¹ × 11¹ × 199¹
LCM(30640,30646) = 469496720