What is the Least Common Multiple of 89860 and 89875?

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 89860 and 89875 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 89860 and 89875, than apply into the LCM equation.

GCF(89860,89875) = 5
LCM(89860,89875) = ( 89860 × 89875) / 5
LCM(89860,89875) = 8076167500 / 5
LCM(89860,89875) = 1615233500

Least Common Multiple (LCM) of 89860 and 89875 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 89860 and 89875. First we will calculate the prime factors of 89860 and 89875.

Prime Factorization of 89860

Prime Factorization of 89875

Now multiplying the highest exponent prime factors to calculate the LCM of 89860 and 89875.

LCM(89860,89875) = 2² × 5³ × 4493¹ × 719¹
LCM(89860,89875) = 1615233500