What is the Least Common Multiple of 88196 and 88208?

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 88196 and 88208 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 88196 and 88208, than apply into the LCM equation.

GCF(88196,88208) = 4
LCM(88196,88208) = ( 88196 × 88208) / 4
LCM(88196,88208) = 7779592768 / 4
LCM(88196,88208) = 1944898192

Least Common Multiple (LCM) of 88196 and 88208 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 88196 and 88208. First we will calculate the prime factors of 88196 and 88208.

Prime Factorization of 88196

Prime Factorization of 88208

Now multiplying the highest exponent prime factors to calculate the LCM of 88196 and 88208.

LCM(88196,88208) = 2⁴ × 17¹ × 1297¹ × 37¹ × 149¹
LCM(88196,88208) = 1944898192