What is the Least Common Multiple of 30646 and 30656?

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 30646 and 30656 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 30646 and 30656, than apply into the LCM equation.

GCF(30646,30656) = 2
LCM(30646,30656) = ( 30646 × 30656) / 2
LCM(30646,30656) = 939483776 / 2
LCM(30646,30656) = 469741888

Least Common Multiple (LCM) of 30646 and 30656 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 30646 and 30656. First we will calculate the prime factors of 30646 and 30656.

Prime Factorization of 30646

Prime Factorization of 30656

Now multiplying the highest exponent prime factors to calculate the LCM of 30646 and 30656.

LCM(30646,30656) = 2⁶ × 7¹ × 11¹ × 199¹ × 479¹
LCM(30646,30656) = 469741888