What is the Least Common Multiple of 82052 and 82072?

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 82052 and 82072 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 82052 and 82072, than apply into the LCM equation.

GCF(82052,82072) = 4
LCM(82052,82072) = ( 82052 × 82072) / 4
LCM(82052,82072) = 6734171744 / 4
LCM(82052,82072) = 1683542936

Least Common Multiple (LCM) of 82052 and 82072 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 82052 and 82072. First we will calculate the prime factors of 82052 and 82072.

Prime Factorization of 82052

Prime Factorization of 82072

Now multiplying the highest exponent prime factors to calculate the LCM of 82052 and 82072.

LCM(82052,82072) = 2³ × 73¹ × 281¹ × 10259¹
LCM(82052,82072) = 1683542936