What is the Least Common Multiple of 87234 and 87240?

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 87234 and 87240 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 87234 and 87240, than apply into the LCM equation.

GCF(87234,87240) = 6
LCM(87234,87240) = ( 87234 × 87240) / 6
LCM(87234,87240) = 7610294160 / 6
LCM(87234,87240) = 1268382360

Least Common Multiple (LCM) of 87234 and 87240 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 87234 and 87240. First we will calculate the prime factors of 87234 and 87240.

Prime Factorization of 87234

Prime Factorization of 87240

Now multiplying the highest exponent prime factors to calculate the LCM of 87234 and 87240.

LCM(87234,87240) = 2³ × 3¹ × 7¹ × 31¹ × 67¹ × 5¹ × 727¹
LCM(87234,87240) = 1268382360