What is the Least Common Multiple of 32046 and 32058?

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 32046 and 32058 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 32046 and 32058, than apply into the LCM equation.

GCF(32046,32058) = 6
LCM(32046,32058) = ( 32046 × 32058) / 6
LCM(32046,32058) = 1027330668 / 6
LCM(32046,32058) = 171221778

Least Common Multiple (LCM) of 32046 and 32058 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 32046 and 32058. First we will calculate the prime factors of 32046 and 32058.

Prime Factorization of 32046

Prime Factorization of 32058

Now multiplying the highest exponent prime factors to calculate the LCM of 32046 and 32058.

LCM(32046,32058) = 2¹ × 3² × 7² × 109¹ × 13¹ × 137¹
LCM(32046,32058) = 171221778