What is the Least Common Multiple of 88686 and 88690?

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 88686 and 88690 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 88686 and 88690, than apply into the LCM equation.

GCF(88686,88690) = 2
LCM(88686,88690) = ( 88686 × 88690) / 2
LCM(88686,88690) = 7865561340 / 2
LCM(88686,88690) = 3932780670

Least Common Multiple (LCM) of 88686 and 88690 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 88686 and 88690. First we will calculate the prime factors of 88686 and 88690.

Prime Factorization of 88686

Prime Factorization of 88690

Now multiplying the highest exponent prime factors to calculate the LCM of 88686 and 88690.

LCM(88686,88690) = 2¹ × 3² × 13¹ × 379¹ × 5¹ × 7² × 181¹
LCM(88686,88690) = 3932780670