What is the Least Common Multiple of 80709 and 80716?

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 80709 and 80716 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 80709 and 80716, than apply into the LCM equation.

GCF(80709,80716) = 1
LCM(80709,80716) = ( 80709 × 80716) / 1
LCM(80709,80716) = 6514507644 / 1
LCM(80709,80716) = 6514507644

Least Common Multiple (LCM) of 80709 and 80716 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 80709 and 80716. First we will calculate the prime factors of 80709 and 80716.

Prime Factorization of 80709

Prime Factorization of 80716

Now multiplying the highest exponent prime factors to calculate the LCM of 80709 and 80716.

LCM(80709,80716) = 3¹ × 26903¹ × 2² × 17¹ × 1187¹
LCM(80709,80716) = 6514507644