What is the Least Common Multiple of 88172 and 88180?

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 88172 and 88180 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 88172 and 88180, than apply into the LCM equation.

GCF(88172,88180) = 4
LCM(88172,88180) = ( 88172 × 88180) / 4
LCM(88172,88180) = 7775006960 / 4
LCM(88172,88180) = 1943751740

Least Common Multiple (LCM) of 88172 and 88180 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 88172 and 88180. First we will calculate the prime factors of 88172 and 88180.

Prime Factorization of 88172

Prime Factorization of 88180

Now multiplying the highest exponent prime factors to calculate the LCM of 88172 and 88180.

LCM(88172,88180) = 2² × 7¹ × 47¹ × 67¹ × 5¹ × 4409¹
LCM(88172,88180) = 1943751740