What is the Least Common Multiple of 58802 and 58814?

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 58802 and 58814 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 58802 and 58814, than apply into the LCM equation.

GCF(58802,58814) = 2
LCM(58802,58814) = ( 58802 × 58814) / 2
LCM(58802,58814) = 3458380828 / 2
LCM(58802,58814) = 1729190414

Least Common Multiple (LCM) of 58802 and 58814 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 58802 and 58814. First we will calculate the prime factors of 58802 and 58814.

Prime Factorization of 58802

Prime Factorization of 58814

Now multiplying the highest exponent prime factors to calculate the LCM of 58802 and 58814.

LCM(58802,58814) = 2¹ × 29401¹ × 7¹ × 4201¹
LCM(58802,58814) = 1729190414