What is the Least Common Multiple of 88690 and 88704?

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 88690 and 88704 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 88690 and 88704, than apply into the LCM equation.

GCF(88690,88704) = 14
LCM(88690,88704) = ( 88690 × 88704) / 14
LCM(88690,88704) = 7867157760 / 14
LCM(88690,88704) = 561939840

Least Common Multiple (LCM) of 88690 and 88704 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 88690 and 88704. First we will calculate the prime factors of 88690 and 88704.

Prime Factorization of 88690

Prime Factorization of 88704

Now multiplying the highest exponent prime factors to calculate the LCM of 88690 and 88704.

LCM(88690,88704) = 2⁷ × 5¹ × 7² × 181¹ × 3² × 11¹
LCM(88690,88704) = 561939840