What is the Least Common Multiple of 53514 and 53529?

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 53514 and 53529 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 53514 and 53529, than apply into the LCM equation.

GCF(53514,53529) = 3
LCM(53514,53529) = ( 53514 × 53529) / 3
LCM(53514,53529) = 2864550906 / 3
LCM(53514,53529) = 954850302

Least Common Multiple (LCM) of 53514 and 53529 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 53514 and 53529. First we will calculate the prime factors of 53514 and 53529.

Prime Factorization of 53514

Prime Factorization of 53529

Now multiplying the highest exponent prime factors to calculate the LCM of 53514 and 53529.

LCM(53514,53529) = 2¹ × 3³ × 991¹ × 7¹ × 2549¹
LCM(53514,53529) = 954850302