What is the Least Common Multiple of 59430 and 59450?

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 59430 and 59450 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 59430 and 59450, than apply into the LCM equation.

GCF(59430,59450) = 10
LCM(59430,59450) = ( 59430 × 59450) / 10
LCM(59430,59450) = 3533113500 / 10
LCM(59430,59450) = 353311350

Least Common Multiple (LCM) of 59430 and 59450 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 59430 and 59450. First we will calculate the prime factors of 59430 and 59450.

Prime Factorization of 59430

Prime Factorization of 59450

Now multiplying the highest exponent prime factors to calculate the LCM of 59430 and 59450.

LCM(59430,59450) = 2¹ × 3¹ × 5² × 7¹ × 283¹ × 29¹ × 41¹
LCM(59430,59450) = 353311350