What is the Least Common Multiple of 76228 and 76234?

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 76228 and 76234 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 76228 and 76234, than apply into the LCM equation.

GCF(76228,76234) = 2
LCM(76228,76234) = ( 76228 × 76234) / 2
LCM(76228,76234) = 5811165352 / 2
LCM(76228,76234) = 2905582676

Least Common Multiple (LCM) of 76228 and 76234 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 76228 and 76234. First we will calculate the prime factors of 76228 and 76234.

Prime Factorization of 76228

Prime Factorization of 76234

Now multiplying the highest exponent prime factors to calculate the LCM of 76228 and 76234.

LCM(76228,76234) = 2² × 17¹ × 19¹ × 59¹ × 47¹ × 811¹
LCM(76228,76234) = 2905582676