What is the Least Common Multiple of 88180 and 88198?

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 88180 and 88198 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 88180 and 88198, than apply into the LCM equation.

GCF(88180,88198) = 2
LCM(88180,88198) = ( 88180 × 88198) / 2
LCM(88180,88198) = 7777299640 / 2
LCM(88180,88198) = 3888649820

Least Common Multiple (LCM) of 88180 and 88198 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 88180 and 88198. First we will calculate the prime factors of 88180 and 88198.

Prime Factorization of 88180

Prime Factorization of 88198

Now multiplying the highest exponent prime factors to calculate the LCM of 88180 and 88198.

LCM(88180,88198) = 2² × 5¹ × 4409¹ × 11¹ × 19¹ × 211¹
LCM(88180,88198) = 3888649820