What is the Least Common Multiple of 75420 and 75434?

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 75420 and 75434 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 75420 and 75434, than apply into the LCM equation.

GCF(75420,75434) = 2
LCM(75420,75434) = ( 75420 × 75434) / 2
LCM(75420,75434) = 5689232280 / 2
LCM(75420,75434) = 2844616140

Least Common Multiple (LCM) of 75420 and 75434 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 75420 and 75434. First we will calculate the prime factors of 75420 and 75434.

Prime Factorization of 75420

Prime Factorization of 75434

Now multiplying the highest exponent prime factors to calculate the LCM of 75420 and 75434.

LCM(75420,75434) = 2² × 3² × 5¹ × 419¹ × 37717¹
LCM(75420,75434) = 2844616140