What is the Least Common Multiple of 6208 and 6228?

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 6208 and 6228 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6208 and 6228, than apply into the LCM equation.

GCF(6208,6228) = 4
LCM(6208,6228) = ( 6208 × 6228) / 4
LCM(6208,6228) = 38663424 / 4
LCM(6208,6228) = 9665856

Least Common Multiple (LCM) of 6208 and 6228 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 6208 and 6228. First we will calculate the prime factors of 6208 and 6228.

Prime Factorization of 6208

Prime Factorization of 6228

Now multiplying the highest exponent prime factors to calculate the LCM of 6208 and 6228.

LCM(6208,6228) = 2⁶ × 97¹ × 3² × 173¹
LCM(6208,6228) = 9665856