What is the Least Common Multiple of 76208 and 76226?

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 76208 and 76226 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 76208 and 76226, than apply into the LCM equation.

GCF(76208,76226) = 2
LCM(76208,76226) = ( 76208 × 76226) / 2
LCM(76208,76226) = 5809031008 / 2
LCM(76208,76226) = 2904515504

Least Common Multiple (LCM) of 76208 and 76226 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 76208 and 76226. First we will calculate the prime factors of 76208 and 76226.

Prime Factorization of 76208

Prime Factorization of 76226

Now multiplying the highest exponent prime factors to calculate the LCM of 76208 and 76226.

LCM(76208,76226) = 2⁴ × 11¹ × 433¹ × 38113¹
LCM(76208,76226) = 2904515504