What is the Least Common Multiple of 94544 and 94564?

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 94544 and 94564 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 94544 and 94564, than apply into the LCM equation.

GCF(94544,94564) = 4
LCM(94544,94564) = ( 94544 × 94564) / 4
LCM(94544,94564) = 8940458816 / 4
LCM(94544,94564) = 2235114704

Least Common Multiple (LCM) of 94544 and 94564 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 94544 and 94564. First we will calculate the prime factors of 94544 and 94564.

Prime Factorization of 94544

Prime Factorization of 94564

Now multiplying the highest exponent prime factors to calculate the LCM of 94544 and 94564.

LCM(94544,94564) = 2⁴ × 19¹ × 311¹ × 47¹ × 503¹
LCM(94544,94564) = 2235114704