What is the Least Common Multiple of 87240 and 87250?

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 87240 and 87250 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 87240 and 87250, than apply into the LCM equation.

GCF(87240,87250) = 10
LCM(87240,87250) = ( 87240 × 87250) / 10
LCM(87240,87250) = 7611690000 / 10
LCM(87240,87250) = 761169000

Least Common Multiple (LCM) of 87240 and 87250 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 87240 and 87250. First we will calculate the prime factors of 87240 and 87250.

Prime Factorization of 87240

Prime Factorization of 87250

Now multiplying the highest exponent prime factors to calculate the LCM of 87240 and 87250.

LCM(87240,87250) = 2³ × 3¹ × 5³ × 727¹ × 349¹
LCM(87240,87250) = 761169000