What is the Least Common Multiple of 71638 and 71646?

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 71646 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 71646, than apply into the LCM equation.

GCF(71638,71646) = 2
LCM(71638,71646) = ( 71638 × 71646) / 2
LCM(71638,71646) = 5132576148 / 2
LCM(71638,71646) = 2566288074

Least Common Multiple (LCM) of 71638 and 71646 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 71638 and 71646. First we will calculate the prime factors of 71638 and 71646.

Prime Factorization of 71638

Prime Factorization of 71646

Now multiplying the highest exponent prime factors to calculate the LCM of 71638 and 71646.

LCM(71638,71646) = 2¹ × 7² × 17¹ × 43¹ × 3¹ × 11941¹
LCM(71638,71646) = 2566288074