What is the Least Common Multiple of 53514 and 53534?

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 53534 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 53534, than apply into the LCM equation.

GCF(53514,53534) = 2
LCM(53514,53534) = ( 53514 × 53534) / 2
LCM(53514,53534) = 2864818476 / 2
LCM(53514,53534) = 1432409238

Least Common Multiple (LCM) of 53514 and 53534 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 53514 and 53534. First we will calculate the prime factors of 53514 and 53534.

Prime Factorization of 53514

Prime Factorization of 53534

Now multiplying the highest exponent prime factors to calculate the LCM of 53514 and 53534.

LCM(53514,53534) = 2¹ × 3³ × 991¹ × 13¹ × 29¹ × 71¹
LCM(53514,53534) = 1432409238