What is the Least Common Multiple of 76220 and 76239?

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 76239 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 76239, than apply into the LCM equation.

GCF(76220,76239) = 1
LCM(76220,76239) = ( 76220 × 76239) / 1
LCM(76220,76239) = 5810936580 / 1
LCM(76220,76239) = 5810936580

Least Common Multiple (LCM) of 76220 and 76239 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 76220 and 76239. First we will calculate the prime factors of 76220 and 76239.

Prime Factorization of 76220

Prime Factorization of 76239

Now multiplying the highest exponent prime factors to calculate the LCM of 76220 and 76239.

LCM(76220,76239) = 2² × 5¹ × 37¹ × 103¹ × 3² × 43¹ × 197¹
LCM(76220,76239) = 5810936580