What is the Least Common Multiple of 82032 and 82052?

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 82032 and 82052 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 82032 and 82052, than apply into the LCM equation.

GCF(82032,82052) = 4
LCM(82032,82052) = ( 82032 × 82052) / 4
LCM(82032,82052) = 6730889664 / 4
LCM(82032,82052) = 1682722416

Least Common Multiple (LCM) of 82032 and 82052 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 82032 and 82052. First we will calculate the prime factors of 82032 and 82052.

Prime Factorization of 82032

Prime Factorization of 82052

Now multiplying the highest exponent prime factors to calculate the LCM of 82032 and 82052.

LCM(82032,82052) = 2⁴ × 3¹ × 1709¹ × 73¹ × 281¹
LCM(82032,82052) = 1682722416