What is the Least Common Multiple of 80754 and 80762?

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 80754 and 80762 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 80754 and 80762, than apply into the LCM equation.

GCF(80754,80762) = 2
LCM(80754,80762) = ( 80754 × 80762) / 2
LCM(80754,80762) = 6521854548 / 2
LCM(80754,80762) = 3260927274

Least Common Multiple (LCM) of 80754 and 80762 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 80754 and 80762. First we will calculate the prime factors of 80754 and 80762.

Prime Factorization of 80754

Prime Factorization of 80762

Now multiplying the highest exponent prime factors to calculate the LCM of 80754 and 80762.

LCM(80754,80762) = 2¹ × 3¹ × 43¹ × 313¹ × 11¹ × 3671¹
LCM(80754,80762) = 3260927274