What is the Least Common Multiple of 76272 and 76289?

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 76272 and 76289 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 76272 and 76289, than apply into the LCM equation.

GCF(76272,76289) = 1
LCM(76272,76289) = ( 76272 × 76289) / 1
LCM(76272,76289) = 5818714608 / 1
LCM(76272,76289) = 5818714608

Least Common Multiple (LCM) of 76272 and 76289 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 76272 and 76289. First we will calculate the prime factors of 76272 and 76289.

Prime Factorization of 76272

Prime Factorization of 76289

Now multiplying the highest exponent prime factors to calculate the LCM of 76272 and 76289.

LCM(76272,76289) = 2⁴ × 3¹ × 7¹ × 227¹ × 76289¹
LCM(76272,76289) = 5818714608