What is the Least Common Multiple of 71638 and 71654?

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 71638 and 71654 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 71638 and 71654, than apply into the LCM equation.

GCF(71638,71654) = 2
LCM(71638,71654) = ( 71638 × 71654) / 2
LCM(71638,71654) = 5133149252 / 2
LCM(71638,71654) = 2566574626

Least Common Multiple (LCM) of 71638 and 71654 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 71638 and 71654. First we will calculate the prime factors of 71638 and 71654.

Prime Factorization of 71638

Prime Factorization of 71654

Now multiplying the highest exponent prime factors to calculate the LCM of 71638 and 71654.

LCM(71638,71654) = 2¹ × 7² × 17¹ × 43¹ × 11¹ × 3257¹
LCM(71638,71654) = 2566574626