What is the Least Common Multiple of 88169 and 88186?

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 88169 and 88186 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 88169 and 88186, than apply into the LCM equation.

GCF(88169,88186) = 1
LCM(88169,88186) = ( 88169 × 88186) / 1
LCM(88169,88186) = 7775271434 / 1
LCM(88169,88186) = 7775271434

Least Common Multiple (LCM) of 88169 and 88186 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 88169 and 88186. First we will calculate the prime factors of 88169 and 88186.

Prime Factorization of 88169

Prime Factorization of 88186

Now multiplying the highest exponent prime factors to calculate the LCM of 88169 and 88186.

LCM(88169,88186) = 88169¹ × 2¹ × 7¹ × 6299¹
LCM(88169,88186) = 7775271434