What is the Least Common Multiple of 32938 and 32942?

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 32938 and 32942 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 32938 and 32942, than apply into the LCM equation.

GCF(32938,32942) = 2
LCM(32938,32942) = ( 32938 × 32942) / 2
LCM(32938,32942) = 1085043596 / 2
LCM(32938,32942) = 542521798

Least Common Multiple (LCM) of 32938 and 32942 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 32938 and 32942. First we will calculate the prime factors of 32938 and 32942.

Prime Factorization of 32938

Prime Factorization of 32942

Now multiplying the highest exponent prime factors to calculate the LCM of 32938 and 32942.

LCM(32938,32942) = 2¹ × 43¹ × 383¹ × 7¹ × 13¹ × 181¹
LCM(32938,32942) = 542521798