What is the Least Common Multiple of 75450 and 75461?

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 75450 and 75461 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 75450 and 75461, than apply into the LCM equation.

GCF(75450,75461) = 1
LCM(75450,75461) = ( 75450 × 75461) / 1
LCM(75450,75461) = 5693532450 / 1
LCM(75450,75461) = 5693532450

Least Common Multiple (LCM) of 75450 and 75461 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 75450 and 75461. First we will calculate the prime factors of 75450 and 75461.

Prime Factorization of 75450

Prime Factorization of 75461

Now multiplying the highest exponent prime factors to calculate the LCM of 75450 and 75461.

LCM(75450,75461) = 2¹ × 3¹ × 5² × 503¹ × 59¹ × 1279¹
LCM(75450,75461) = 5693532450