What is the Least Common Multiple of 89036 and 89040?

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 89036 and 89040 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 89036 and 89040, than apply into the LCM equation.

GCF(89036,89040) = 4
LCM(89036,89040) = ( 89036 × 89040) / 4
LCM(89036,89040) = 7927765440 / 4
LCM(89036,89040) = 1981941360

Least Common Multiple (LCM) of 89036 and 89040 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 89036 and 89040. First we will calculate the prime factors of 89036 and 89040.

Prime Factorization of 89036

Prime Factorization of 89040

Now multiplying the highest exponent prime factors to calculate the LCM of 89036 and 89040.

LCM(89036,89040) = 2⁴ × 22259¹ × 3¹ × 5¹ × 7¹ × 53¹
LCM(89036,89040) = 1981941360