What is the Least Common Multiple of 90860 and 90878?

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 90860 and 90878 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 90860 and 90878, than apply into the LCM equation.

GCF(90860,90878) = 2
LCM(90860,90878) = ( 90860 × 90878) / 2
LCM(90860,90878) = 8257175080 / 2
LCM(90860,90878) = 4128587540

Least Common Multiple (LCM) of 90860 and 90878 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 90860 and 90878. First we will calculate the prime factors of 90860 and 90878.

Prime Factorization of 90860

Prime Factorization of 90878

Now multiplying the highest exponent prime factors to calculate the LCM of 90860 and 90878.

LCM(90860,90878) = 2² × 5¹ × 7¹ × 11¹ × 59¹ × 45439¹
LCM(90860,90878) = 4128587540