What is the Least Common Multiple of 88514 and 88531?

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 88514 and 88531 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 88514 and 88531, than apply into the LCM equation.

GCF(88514,88531) = 1
LCM(88514,88531) = ( 88514 × 88531) / 1
LCM(88514,88531) = 7836232934 / 1
LCM(88514,88531) = 7836232934

Least Common Multiple (LCM) of 88514 and 88531 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 88514 and 88531. First we will calculate the prime factors of 88514 and 88531.

Prime Factorization of 88514

Prime Factorization of 88531

Now multiplying the highest exponent prime factors to calculate the LCM of 88514 and 88531.

LCM(88514,88531) = 2¹ × 44257¹ × 223¹ × 397¹
LCM(88514,88531) = 7836232934