What is the Least Common Multiple of 32070 and 32076?

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 32070 and 32076 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 32070 and 32076, than apply into the LCM equation.

GCF(32070,32076) = 6
LCM(32070,32076) = ( 32070 × 32076) / 6
LCM(32070,32076) = 1028677320 / 6
LCM(32070,32076) = 171446220

Least Common Multiple (LCM) of 32070 and 32076 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 32070 and 32076. First we will calculate the prime factors of 32070 and 32076.

Prime Factorization of 32070

Prime Factorization of 32076

Now multiplying the highest exponent prime factors to calculate the LCM of 32070 and 32076.

LCM(32070,32076) = 2² × 3⁶ × 5¹ × 1069¹ × 11¹
LCM(32070,32076) = 171446220