What is the Least Common Multiple of 76230 and 76238?

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 76230 and 76238 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 76230 and 76238, than apply into the LCM equation.

GCF(76230,76238) = 2
LCM(76230,76238) = ( 76230 × 76238) / 2
LCM(76230,76238) = 5811622740 / 2
LCM(76230,76238) = 2905811370

Least Common Multiple (LCM) of 76230 and 76238 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 76230 and 76238. First we will calculate the prime factors of 76230 and 76238.

Prime Factorization of 76230

Prime Factorization of 76238

Now multiplying the highest exponent prime factors to calculate the LCM of 76230 and 76238.

LCM(76230,76238) = 2¹ × 3² × 5¹ × 7¹ × 11² × 38119¹
LCM(76230,76238) = 2905811370