What is the Least Common Multiple of 80956 and 80960?

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 80956 and 80960 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 80956 and 80960, than apply into the LCM equation.

GCF(80956,80960) = 4
LCM(80956,80960) = ( 80956 × 80960) / 4
LCM(80956,80960) = 6554197760 / 4
LCM(80956,80960) = 1638549440

Least Common Multiple (LCM) of 80956 and 80960 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 80956 and 80960. First we will calculate the prime factors of 80956 and 80960.

Prime Factorization of 80956

Prime Factorization of 80960

Now multiplying the highest exponent prime factors to calculate the LCM of 80956 and 80960.

LCM(80956,80960) = 2⁶ × 37¹ × 547¹ × 5¹ × 11¹ × 23¹
LCM(80956,80960) = 1638549440