What is the Least Common Multiple of 89854 and 89864?

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 89854 and 89864 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 89854 and 89864, than apply into the LCM equation.

GCF(89854,89864) = 2
LCM(89854,89864) = ( 89854 × 89864) / 2
LCM(89854,89864) = 8074639856 / 2
LCM(89854,89864) = 4037319928

Least Common Multiple (LCM) of 89854 and 89864 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 89854 and 89864. First we will calculate the prime factors of 89854 and 89864.

Prime Factorization of 89854

Prime Factorization of 89864

Now multiplying the highest exponent prime factors to calculate the LCM of 89854 and 89864.

LCM(89854,89864) = 2³ × 44927¹ × 47¹ × 239¹
LCM(89854,89864) = 4037319928