What is the Least Common Multiple of 75240 and 75246?

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 75240 and 75246 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 75240 and 75246, than apply into the LCM equation.

GCF(75240,75246) = 6
LCM(75240,75246) = ( 75240 × 75246) / 6
LCM(75240,75246) = 5661509040 / 6
LCM(75240,75246) = 943584840

Least Common Multiple (LCM) of 75240 and 75246 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 75240 and 75246. First we will calculate the prime factors of 75240 and 75246.

Prime Factorization of 75240

Prime Factorization of 75246

Now multiplying the highest exponent prime factors to calculate the LCM of 75240 and 75246.

LCM(75240,75246) = 2³ × 3² × 5¹ × 11¹ × 19¹ × 12541¹
LCM(75240,75246) = 943584840