What is the Least Common Multiple of 32934 and 32954?

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 32934 and 32954 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 32934 and 32954, than apply into the LCM equation.

GCF(32934,32954) = 2
LCM(32934,32954) = ( 32934 × 32954) / 2
LCM(32934,32954) = 1085307036 / 2
LCM(32934,32954) = 542653518

Least Common Multiple (LCM) of 32934 and 32954 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 32934 and 32954. First we will calculate the prime factors of 32934 and 32954.

Prime Factorization of 32934

Prime Factorization of 32954

Now multiplying the highest exponent prime factors to calculate the LCM of 32934 and 32954.

LCM(32934,32954) = 2¹ × 3¹ × 11¹ × 499¹ × 16477¹
LCM(32934,32954) = 542653518