What is the Least Common Multiple of 66200 and 66208?

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 66200 and 66208 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 66200 and 66208, than apply into the LCM equation.

GCF(66200,66208) = 8
LCM(66200,66208) = ( 66200 × 66208) / 8
LCM(66200,66208) = 4382969600 / 8
LCM(66200,66208) = 547871200

Least Common Multiple (LCM) of 66200 and 66208 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 66200 and 66208. First we will calculate the prime factors of 66200 and 66208.

Prime Factorization of 66200

Prime Factorization of 66208

Now multiplying the highest exponent prime factors to calculate the LCM of 66200 and 66208.

LCM(66200,66208) = 2⁵ × 5² × 331¹ × 2069¹
LCM(66200,66208) = 547871200