What is the Least Common Multiple of 89863 and 89878?

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 89863 and 89878 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 89863 and 89878, than apply into the LCM equation.

GCF(89863,89878) = 1
LCM(89863,89878) = ( 89863 × 89878) / 1
LCM(89863,89878) = 8076706714 / 1
LCM(89863,89878) = 8076706714

Least Common Multiple (LCM) of 89863 and 89878 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 89863 and 89878. First we will calculate the prime factors of 89863 and 89878.

Prime Factorization of 89863

Prime Factorization of 89878

Now multiplying the highest exponent prime factors to calculate the LCM of 89863 and 89878.

LCM(89863,89878) = 73¹ × 1231¹ × 2¹ × 44939¹
LCM(89863,89878) = 8076706714