What is the Least Common Multiple of 58434 and 58450?

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 58434 and 58450 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 58434 and 58450, than apply into the LCM equation.

GCF(58434,58450) = 2
LCM(58434,58450) = ( 58434 × 58450) / 2
LCM(58434,58450) = 3415467300 / 2
LCM(58434,58450) = 1707733650

Least Common Multiple (LCM) of 58434 and 58450 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 58434 and 58450. First we will calculate the prime factors of 58434 and 58450.

Prime Factorization of 58434

Prime Factorization of 58450

Now multiplying the highest exponent prime factors to calculate the LCM of 58434 and 58450.

LCM(58434,58450) = 2¹ × 3¹ × 9739¹ × 5² × 7¹ × 167¹
LCM(58434,58450) = 1707733650