What is the Least Common Multiple of 32030 and 32046?

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 32030 and 32046 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 32030 and 32046, than apply into the LCM equation.

GCF(32030,32046) = 2
LCM(32030,32046) = ( 32030 × 32046) / 2
LCM(32030,32046) = 1026433380 / 2
LCM(32030,32046) = 513216690

Least Common Multiple (LCM) of 32030 and 32046 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 32030 and 32046. First we will calculate the prime factors of 32030 and 32046.

Prime Factorization of 32030

Prime Factorization of 32046

Now multiplying the highest exponent prime factors to calculate the LCM of 32030 and 32046.

LCM(32030,32046) = 2¹ × 5¹ × 3203¹ × 3¹ × 7² × 109¹
LCM(32030,32046) = 513216690