What is the Least Common Multiple of 80104 and 80120?

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 80104 and 80120 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 80104 and 80120, than apply into the LCM equation.

GCF(80104,80120) = 8
LCM(80104,80120) = ( 80104 × 80120) / 8
LCM(80104,80120) = 6417932480 / 8
LCM(80104,80120) = 802241560

Least Common Multiple (LCM) of 80104 and 80120 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 80104 and 80120. First we will calculate the prime factors of 80104 and 80120.

Prime Factorization of 80104

Prime Factorization of 80120

Now multiplying the highest exponent prime factors to calculate the LCM of 80104 and 80120.

LCM(80104,80120) = 2³ × 17¹ × 19¹ × 31¹ × 5¹ × 2003¹
LCM(80104,80120) = 802241560