What is the Least Common Multiple of 76220 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 76220 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 76220 and 76234, than apply into the LCM equation.

GCF(76220,76234) = 2
LCM(76220,76234) = ( 76220 × 76234) / 2
LCM(76220,76234) = 5810555480 / 2
LCM(76220,76234) = 2905277740

Least Common Multiple (LCM) of 76220 and 76234 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 76220 and 76234. First we will calculate the prime factors of 76220 and 76234.

Prime Factorization of 76220

Prime Factorization of 76234

Now multiplying the highest exponent prime factors to calculate the LCM of 76220 and 76234.

LCM(76220,76234) = 2² × 5¹ × 37¹ × 103¹ × 47¹ × 811¹
LCM(76220,76234) = 2905277740