What is the Least Common Multiple of 89035 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 89035 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 89035 and 89040, than apply into the LCM equation.

GCF(89035,89040) = 5
LCM(89035,89040) = ( 89035 × 89040) / 5
LCM(89035,89040) = 7927676400 / 5
LCM(89035,89040) = 1585535280

Least Common Multiple (LCM) of 89035 and 89040 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 89035 and 89040. First we will calculate the prime factors of 89035 and 89040.

Prime Factorization of 89035

Prime Factorization of 89040

Now multiplying the highest exponent prime factors to calculate the LCM of 89035 and 89040.

LCM(89035,89040) = 5¹ × 17807¹ × 2⁴ × 3¹ × 7¹ × 53¹
LCM(89035,89040) = 1585535280