What is the Least Common Multiple of 58940 and 58945?

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 58940 and 58945 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 58940 and 58945, than apply into the LCM equation.

GCF(58940,58945) = 5
LCM(58940,58945) = ( 58940 × 58945) / 5
LCM(58940,58945) = 3474218300 / 5
LCM(58940,58945) = 694843660

Least Common Multiple (LCM) of 58940 and 58945 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 58940 and 58945. First we will calculate the prime factors of 58940 and 58945.

Prime Factorization of 58940

Prime Factorization of 58945

Now multiplying the highest exponent prime factors to calculate the LCM of 58940 and 58945.

LCM(58940,58945) = 2² × 5¹ × 7¹ × 421¹ × 11789¹
LCM(58940,58945) = 694843660