What is the Least Common Multiple of 80723 and 80738?

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 80723 and 80738 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 80723 and 80738, than apply into the LCM equation.

GCF(80723,80738) = 1
LCM(80723,80738) = ( 80723 × 80738) / 1
LCM(80723,80738) = 6517413574 / 1
LCM(80723,80738) = 6517413574

Least Common Multiple (LCM) of 80723 and 80738 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 80723 and 80738. First we will calculate the prime factors of 80723 and 80738.

Prime Factorization of 80723

Prime Factorization of 80738

Now multiplying the highest exponent prime factors to calculate the LCM of 80723 and 80738.

LCM(80723,80738) = 89¹ × 907¹ × 2¹ × 7¹ × 73¹ × 79¹
LCM(80723,80738) = 6517413574