What is the Least Common Multiple of 76239 and 76253?

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 76239 and 76253 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 76239 and 76253, than apply into the LCM equation.

GCF(76239,76253) = 1
LCM(76239,76253) = ( 76239 × 76253) / 1
LCM(76239,76253) = 5813452467 / 1
LCM(76239,76253) = 5813452467

Least Common Multiple (LCM) of 76239 and 76253 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 76239 and 76253. First we will calculate the prime factors of 76239 and 76253.

Prime Factorization of 76239

Prime Factorization of 76253

Now multiplying the highest exponent prime factors to calculate the LCM of 76239 and 76253.

LCM(76239,76253) = 3² × 43¹ × 197¹ × 76253¹
LCM(76239,76253) = 5813452467