GCF and LCM Calculator Logo

What is the Least Common Multiple of 89032 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 (LCM) of 89032 and 89040 is 990926160.

LCM(89032,89040) = 990926160

LCM Calculator and
and

Least Common Multiple of 89032 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 89032 and 89040, than apply into the LCM equation.

GCF(89032,89040) = 8
LCM(89032,89040) = ( 89032 × 89040) / 8
LCM(89032,89040) = 7927409280 / 8
LCM(89032,89040) = 990926160

Least Common Multiple (LCM) of 89032 and 89040 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 89032 and 89040. First we will calculate the prime factors of 89032 and 89040.

Prime Factorization of 89032

Prime factors of 89032 are 2, 31, 359. Prime factorization of 89032 in exponential form is:

89032 = 23 × 311 × 3591

Prime Factorization of 89040

Prime factors of 89040 are 2, 3, 5, 7, 53. Prime factorization of 89040 in exponential form is:

89040 = 24 × 31 × 51 × 71 × 531

Now multiplying the highest exponent prime factors to calculate the LCM of 89032 and 89040.

LCM(89032,89040) = 24 × 311 × 3591 × 31 × 51 × 71 × 531
LCM(89032,89040) = 990926160