What is the Least Common Multiple of 89038 and 89054?

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 89038 and 89054 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 89038 and 89054, than apply into the LCM equation.

GCF(89038,89054) = 2
LCM(89038,89054) = ( 89038 × 89054) / 2
LCM(89038,89054) = 7929190052 / 2
LCM(89038,89054) = 3964595026

Least Common Multiple (LCM) of 89038 and 89054 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 89038 and 89054. First we will calculate the prime factors of 89038 and 89054.

Prime Factorization of 89038

Prime Factorization of 89054

Now multiplying the highest exponent prime factors to calculate the LCM of 89038 and 89054.

LCM(89038,89054) = 2¹ × 44519¹ × 7¹ × 6361¹
LCM(89038,89054) = 3964595026