What is the Least Common Multiple of 32050 and 32070?

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 32050 and 32070 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 32050 and 32070, than apply into the LCM equation.

GCF(32050,32070) = 10
LCM(32050,32070) = ( 32050 × 32070) / 10
LCM(32050,32070) = 1027843500 / 10
LCM(32050,32070) = 102784350

Least Common Multiple (LCM) of 32050 and 32070 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 32050 and 32070. First we will calculate the prime factors of 32050 and 32070.

Prime Factorization of 32050

Prime Factorization of 32070

Now multiplying the highest exponent prime factors to calculate the LCM of 32050 and 32070.

LCM(32050,32070) = 2¹ × 5² × 641¹ × 3¹ × 1069¹
LCM(32050,32070) = 102784350