What is the Least Common Multiple of 88692 and 88699?

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 88692 and 88699 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 88692 and 88699, than apply into the LCM equation.

GCF(88692,88699) = 1
LCM(88692,88699) = ( 88692 × 88699) / 1
LCM(88692,88699) = 7866891708 / 1
LCM(88692,88699) = 7866891708

Least Common Multiple (LCM) of 88692 and 88699 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 88692 and 88699. First we will calculate the prime factors of 88692 and 88699.

Prime Factorization of 88692

Prime Factorization of 88699

Now multiplying the highest exponent prime factors to calculate the LCM of 88692 and 88699.

LCM(88692,88699) = 2² × 3¹ × 19¹ × 389¹ × 13¹ × 6823¹
LCM(88692,88699) = 7866891708