What is the Least Common Multiple of 82540 and 82552?

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 82540 and 82552 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 82540 and 82552, than apply into the LCM equation.

GCF(82540,82552) = 4
LCM(82540,82552) = ( 82540 × 82552) / 4
LCM(82540,82552) = 6813842080 / 4
LCM(82540,82552) = 1703460520

Least Common Multiple (LCM) of 82540 and 82552 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 82540 and 82552. First we will calculate the prime factors of 82540 and 82552.

Prime Factorization of 82540

Prime Factorization of 82552

Now multiplying the highest exponent prime factors to calculate the LCM of 82540 and 82552.

LCM(82540,82552) = 2³ × 5¹ × 4127¹ × 17¹ × 607¹
LCM(82540,82552) = 1703460520