What is the Least Common Multiple of 86996 and 87010?

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 86996 and 87010 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 86996 and 87010, than apply into the LCM equation.

GCF(86996,87010) = 14
LCM(86996,87010) = ( 86996 × 87010) / 14
LCM(86996,87010) = 7569521960 / 14
LCM(86996,87010) = 540680140

Least Common Multiple (LCM) of 86996 and 87010 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 86996 and 87010. First we will calculate the prime factors of 86996 and 87010.

Prime Factorization of 86996

Prime Factorization of 87010

Now multiplying the highest exponent prime factors to calculate the LCM of 86996 and 87010.

LCM(86996,87010) = 2² × 7¹ × 13¹ × 239¹ × 5¹ × 11¹ × 113¹
LCM(86996,87010) = 540680140