What is the Least Common Multiple of 94544 and 94551?

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 94551 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 94551, than apply into the LCM equation.

GCF(94544,94551) = 1
LCM(94544,94551) = ( 94544 × 94551) / 1
LCM(94544,94551) = 8939229744 / 1
LCM(94544,94551) = 8939229744

Least Common Multiple (LCM) of 94544 and 94551 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 94544 and 94551. First we will calculate the prime factors of 94544 and 94551.

Prime Factorization of 94544

Prime Factorization of 94551

Now multiplying the highest exponent prime factors to calculate the LCM of 94544 and 94551.

LCM(94544,94551) = 2⁴ × 19¹ × 311¹ × 3¹ × 31517¹
LCM(94544,94551) = 8939229744