What is the Least Common Multiple of 32040 and 32050?

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 32040 and 32050 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 32040 and 32050, than apply into the LCM equation.

GCF(32040,32050) = 10
LCM(32040,32050) = ( 32040 × 32050) / 10
LCM(32040,32050) = 1026882000 / 10
LCM(32040,32050) = 102688200

Least Common Multiple (LCM) of 32040 and 32050 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 32040 and 32050. First we will calculate the prime factors of 32040 and 32050.

Prime Factorization of 32040

Prime Factorization of 32050

Now multiplying the highest exponent prime factors to calculate the LCM of 32040 and 32050.

LCM(32040,32050) = 2³ × 3² × 5² × 89¹ × 641¹
LCM(32040,32050) = 102688200