What is the Least Common Multiple of 82072 and 82080?

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 82072 and 82080 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 82072 and 82080, than apply into the LCM equation.

GCF(82072,82080) = 8
LCM(82072,82080) = ( 82072 × 82080) / 8
LCM(82072,82080) = 6736469760 / 8
LCM(82072,82080) = 842058720

Least Common Multiple (LCM) of 82072 and 82080 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 82072 and 82080. First we will calculate the prime factors of 82072 and 82080.

Prime Factorization of 82072

Prime Factorization of 82080

Now multiplying the highest exponent prime factors to calculate the LCM of 82072 and 82080.

LCM(82072,82080) = 2⁵ × 10259¹ × 3³ × 5¹ × 19¹
LCM(82072,82080) = 842058720