What is the Least Common Multiple of 87840 and 87854?

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 87840 and 87854 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 87840 and 87854, than apply into the LCM equation.

GCF(87840,87854) = 2
LCM(87840,87854) = ( 87840 × 87854) / 2
LCM(87840,87854) = 7717095360 / 2
LCM(87840,87854) = 3858547680

Least Common Multiple (LCM) of 87840 and 87854 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 87840 and 87854. First we will calculate the prime factors of 87840 and 87854.

Prime Factorization of 87840

Prime Factorization of 87854

Now multiplying the highest exponent prime factors to calculate the LCM of 87840 and 87854.

LCM(87840,87854) = 2⁵ × 3² × 5¹ × 61¹ × 13¹ × 31¹ × 109¹
LCM(87840,87854) = 3858547680