What is the Least Common Multiple of 88178 and 88190?

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 88178 and 88190 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 88178 and 88190, than apply into the LCM equation.

GCF(88178,88190) = 2
LCM(88178,88190) = ( 88178 × 88190) / 2
LCM(88178,88190) = 7776417820 / 2
LCM(88178,88190) = 3888208910

Least Common Multiple (LCM) of 88178 and 88190 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 88178 and 88190. First we will calculate the prime factors of 88178 and 88190.

Prime Factorization of 88178

Prime Factorization of 88190

Now multiplying the highest exponent prime factors to calculate the LCM of 88178 and 88190.

LCM(88178,88190) = 2¹ × 44089¹ × 5¹ × 8819¹
LCM(88178,88190) = 3888208910