What is the Least Common Multiple of 32032 and 32040?

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 32032 and 32040 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 32032 and 32040, than apply into the LCM equation.

GCF(32032,32040) = 8
LCM(32032,32040) = ( 32032 × 32040) / 8
LCM(32032,32040) = 1026305280 / 8
LCM(32032,32040) = 128288160

Least Common Multiple (LCM) of 32032 and 32040 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 32032 and 32040. First we will calculate the prime factors of 32032 and 32040.

Prime Factorization of 32032

Prime Factorization of 32040

Now multiplying the highest exponent prime factors to calculate the LCM of 32032 and 32040.

LCM(32032,32040) = 2⁵ × 7¹ × 11¹ × 13¹ × 3² × 5¹ × 89¹
LCM(32032,32040) = 128288160