What is the Least Common Multiple of 87039 and 87048?

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 87039 and 87048 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 87039 and 87048, than apply into the LCM equation.

GCF(87039,87048) = 9
LCM(87039,87048) = ( 87039 × 87048) / 9
LCM(87039,87048) = 7576570872 / 9
LCM(87039,87048) = 841841208

Least Common Multiple (LCM) of 87039 and 87048 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 87039 and 87048. First we will calculate the prime factors of 87039 and 87048.

Prime Factorization of 87039

Prime Factorization of 87048

Now multiplying the highest exponent prime factors to calculate the LCM of 87039 and 87048.

LCM(87039,87048) = 3³ × 19¹ × 509¹ × 2³ × 13¹ × 31¹
LCM(87039,87048) = 841841208