What is the Least Common Multiple of 86990 and 86996?

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 86990 and 86996 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 86990 and 86996, than apply into the LCM equation.

GCF(86990,86996) = 2
LCM(86990,86996) = ( 86990 × 86996) / 2
LCM(86990,86996) = 7567782040 / 2
LCM(86990,86996) = 3783891020

Least Common Multiple (LCM) of 86990 and 86996 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 86990 and 86996. First we will calculate the prime factors of 86990 and 86996.

Prime Factorization of 86990

Prime Factorization of 86996

Now multiplying the highest exponent prime factors to calculate the LCM of 86990 and 86996.

LCM(86990,86996) = 2² × 5¹ × 8699¹ × 7¹ × 13¹ × 239¹
LCM(86990,86996) = 3783891020