What is the Least Common Multiple of 88692 and 88698?

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 88698 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 88698, than apply into the LCM equation.

GCF(88692,88698) = 6
LCM(88692,88698) = ( 88692 × 88698) / 6
LCM(88692,88698) = 7866803016 / 6
LCM(88692,88698) = 1311133836

Least Common Multiple (LCM) of 88692 and 88698 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 88692 and 88698. First we will calculate the prime factors of 88692 and 88698.

Prime Factorization of 88692

Prime Factorization of 88698

Now multiplying the highest exponent prime factors to calculate the LCM of 88692 and 88698.

LCM(88692,88698) = 2² × 3¹ × 19¹ × 389¹ × 14783¹
LCM(88692,88698) = 1311133836