What is the Least Common Multiple of 55514 and 55534?

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 55514 and 55534 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 55514 and 55534, than apply into the LCM equation.

GCF(55514,55534) = 2
LCM(55514,55534) = ( 55514 × 55534) / 2
LCM(55514,55534) = 3082914476 / 2
LCM(55514,55534) = 1541457238

Least Common Multiple (LCM) of 55514 and 55534 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 55514 and 55534. First we will calculate the prime factors of 55514 and 55534.

Prime Factorization of 55514

Prime Factorization of 55534

Now multiplying the highest exponent prime factors to calculate the LCM of 55514 and 55534.

LCM(55514,55534) = 2¹ × 41¹ × 677¹ × 27767¹
LCM(55514,55534) = 1541457238