What is the Least Common Multiple of 64576 and 64583?

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 64576 and 64583 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 64576 and 64583, than apply into the LCM equation.

GCF(64576,64583) = 1
LCM(64576,64583) = ( 64576 × 64583) / 1
LCM(64576,64583) = 4170511808 / 1
LCM(64576,64583) = 4170511808

Least Common Multiple (LCM) of 64576 and 64583 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 64576 and 64583. First we will calculate the prime factors of 64576 and 64583.

Prime Factorization of 64576

Prime Factorization of 64583

Now multiplying the highest exponent prime factors to calculate the LCM of 64576 and 64583.

LCM(64576,64583) = 2⁶ × 1009¹ × 17¹ × 29¹ × 131¹
LCM(64576,64583) = 4170511808