What is the Least Common Multiple of 87240 and 87258?

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 87258 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 87258, than apply into the LCM equation.

GCF(87240,87258) = 6
LCM(87240,87258) = ( 87240 × 87258) / 6
LCM(87240,87258) = 7612387920 / 6
LCM(87240,87258) = 1268731320

Least Common Multiple (LCM) of 87240 and 87258 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 87240 and 87258. First we will calculate the prime factors of 87240 and 87258.

Prime Factorization of 87240

Prime Factorization of 87258

Now multiplying the highest exponent prime factors to calculate the LCM of 87240 and 87258.

LCM(87240,87258) = 2³ × 3¹ × 5¹ × 727¹ × 14543¹
LCM(87240,87258) = 1268731320