What is the Least Common Multiple of 58929 and 58942?

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 58929 and 58942 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 58929 and 58942, than apply into the LCM equation.

GCF(58929,58942) = 13
LCM(58929,58942) = ( 58929 × 58942) / 13
LCM(58929,58942) = 3473393118 / 13
LCM(58929,58942) = 267184086

Least Common Multiple (LCM) of 58929 and 58942 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 58929 and 58942. First we will calculate the prime factors of 58929 and 58942.

Prime Factorization of 58929

Prime Factorization of 58942

Now multiplying the highest exponent prime factors to calculate the LCM of 58929 and 58942.

LCM(58929,58942) = 3¹ × 13¹ × 1511¹ × 2¹ × 2267¹
LCM(58929,58942) = 267184086