What is the Least Common Multiple of 88114 and 88119?

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 88114 and 88119 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 88114 and 88119, than apply into the LCM equation.

GCF(88114,88119) = 1
LCM(88114,88119) = ( 88114 × 88119) / 1
LCM(88114,88119) = 7764517566 / 1
LCM(88114,88119) = 7764517566

Least Common Multiple (LCM) of 88114 and 88119 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 88114 and 88119. First we will calculate the prime factors of 88114 and 88119.

Prime Factorization of 88114

Prime Factorization of 88119

Now multiplying the highest exponent prime factors to calculate the LCM of 88114 and 88119.

LCM(88114,88119) = 2¹ × 13¹ × 3389¹ × 3² × 9791¹
LCM(88114,88119) = 7764517566