What is the Least Common Multiple of 88198 and 88204?

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 88198 and 88204 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 88198 and 88204, than apply into the LCM equation.

GCF(88198,88204) = 2
LCM(88198,88204) = ( 88198 × 88204) / 2
LCM(88198,88204) = 7779416392 / 2
LCM(88198,88204) = 3889708196

Least Common Multiple (LCM) of 88198 and 88204 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 88198 and 88204. First we will calculate the prime factors of 88198 and 88204.

Prime Factorization of 88198

Prime Factorization of 88204

Now multiplying the highest exponent prime factors to calculate the LCM of 88198 and 88204.

LCM(88198,88204) = 2² × 11¹ × 19¹ × 211¹ × 22051¹
LCM(88198,88204) = 3889708196