What is the Least Common Multiple of 75446 and 75450?

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 75446 and 75450 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 75446 and 75450, than apply into the LCM equation.

GCF(75446,75450) = 2
LCM(75446,75450) = ( 75446 × 75450) / 2
LCM(75446,75450) = 5692400700 / 2
LCM(75446,75450) = 2846200350

Least Common Multiple (LCM) of 75446 and 75450 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 75446 and 75450. First we will calculate the prime factors of 75446 and 75450.

Prime Factorization of 75446

Prime Factorization of 75450

Now multiplying the highest exponent prime factors to calculate the LCM of 75446 and 75450.

LCM(75446,75450) = 2¹ × 7¹ × 17¹ × 317¹ × 3¹ × 5² × 503¹
LCM(75446,75450) = 2846200350