What is the Least Common Multiple of 58040 and 58048?

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 58040 and 58048 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 58040 and 58048, than apply into the LCM equation.

GCF(58040,58048) = 8
LCM(58040,58048) = ( 58040 × 58048) / 8
LCM(58040,58048) = 3369105920 / 8
LCM(58040,58048) = 421138240

Least Common Multiple (LCM) of 58040 and 58048 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 58040 and 58048. First we will calculate the prime factors of 58040 and 58048.

Prime Factorization of 58040

Prime Factorization of 58048

Now multiplying the highest exponent prime factors to calculate the LCM of 58040 and 58048.

LCM(58040,58048) = 2⁶ × 5¹ × 1451¹ × 907¹
LCM(58040,58048) = 421138240