What is the Least Common Multiple of 32070 and 32074?

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 32074 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 32074, than apply into the LCM equation.

GCF(32070,32074) = 2
LCM(32070,32074) = ( 32070 × 32074) / 2
LCM(32070,32074) = 1028613180 / 2
LCM(32070,32074) = 514306590

Least Common Multiple (LCM) of 32070 and 32074 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 32070 and 32074. First we will calculate the prime factors of 32070 and 32074.

Prime Factorization of 32070

Prime Factorization of 32074

Now multiplying the highest exponent prime factors to calculate the LCM of 32070 and 32074.

LCM(32070,32074) = 2¹ × 3¹ × 5¹ × 1069¹ × 7¹ × 29¹ × 79¹
LCM(32070,32074) = 514306590