What is the Least Common Multiple of 52638 and 52654?

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 52638 and 52654 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 52638 and 52654, than apply into the LCM equation.

GCF(52638,52654) = 2
LCM(52638,52654) = ( 52638 × 52654) / 2
LCM(52638,52654) = 2771601252 / 2
LCM(52638,52654) = 1385800626

Least Common Multiple (LCM) of 52638 and 52654 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 52638 and 52654. First we will calculate the prime factors of 52638 and 52654.

Prime Factorization of 52638

Prime Factorization of 52654

Now multiplying the highest exponent prime factors to calculate the LCM of 52638 and 52654.

LCM(52638,52654) = 2¹ × 3¹ × 31¹ × 283¹ × 7¹ × 3761¹
LCM(52638,52654) = 1385800626