What is the Least Common Multiple of 71666 and 71684?

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 71666 and 71684 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 71666 and 71684, than apply into the LCM equation.

GCF(71666,71684) = 2
LCM(71666,71684) = ( 71666 × 71684) / 2
LCM(71666,71684) = 5137305544 / 2
LCM(71666,71684) = 2568652772

Least Common Multiple (LCM) of 71666 and 71684 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 71666 and 71684. First we will calculate the prime factors of 71666 and 71684.

Prime Factorization of 71666

Prime Factorization of 71684

Now multiplying the highest exponent prime factors to calculate the LCM of 71666 and 71684.

LCM(71666,71684) = 2² × 7¹ × 5119¹ × 17921¹
LCM(71666,71684) = 2568652772