What is the Least Common Multiple of 80652 and 80656?

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 80652 and 80656 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 80652 and 80656, than apply into the LCM equation.

GCF(80652,80656) = 4
LCM(80652,80656) = ( 80652 × 80656) / 4
LCM(80652,80656) = 6505067712 / 4
LCM(80652,80656) = 1626266928

Least Common Multiple (LCM) of 80652 and 80656 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 80652 and 80656. First we will calculate the prime factors of 80652 and 80656.

Prime Factorization of 80652

Prime Factorization of 80656

Now multiplying the highest exponent prime factors to calculate the LCM of 80652 and 80656.

LCM(80652,80656) = 2⁴ × 3¹ × 11¹ × 13¹ × 47¹ × 71²
LCM(80652,80656) = 1626266928