What is the Least Common Multiple of 86988 and 87004?

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 86988 and 87004 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 86988 and 87004, than apply into the LCM equation.

GCF(86988,87004) = 4
LCM(86988,87004) = ( 86988 × 87004) / 4
LCM(86988,87004) = 7568303952 / 4
LCM(86988,87004) = 1892075988

Least Common Multiple (LCM) of 86988 and 87004 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 86988 and 87004. First we will calculate the prime factors of 86988 and 87004.

Prime Factorization of 86988

Prime Factorization of 87004

Now multiplying the highest exponent prime factors to calculate the LCM of 86988 and 87004.

LCM(86988,87004) = 2² × 3¹ × 11¹ × 659¹ × 21751¹
LCM(86988,87004) = 1892075988