What is the Least Common Multiple of 58923 and 58940?

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 58923 and 58940 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 58923 and 58940, than apply into the LCM equation.

GCF(58923,58940) = 1
LCM(58923,58940) = ( 58923 × 58940) / 1
LCM(58923,58940) = 3472921620 / 1
LCM(58923,58940) = 3472921620

Least Common Multiple (LCM) of 58923 and 58940 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 58923 and 58940. First we will calculate the prime factors of 58923 and 58940.

Prime Factorization of 58923

Prime Factorization of 58940

Now multiplying the highest exponent prime factors to calculate the LCM of 58923 and 58940.

LCM(58923,58940) = 3² × 6547¹ × 2² × 5¹ × 7¹ × 421¹
LCM(58923,58940) = 3472921620