What is the Least Common Multiple of 52102 and 52106?

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 52102 and 52106 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 52102 and 52106, than apply into the LCM equation.

GCF(52102,52106) = 2
LCM(52102,52106) = ( 52102 × 52106) / 2
LCM(52102,52106) = 2714826812 / 2
LCM(52102,52106) = 1357413406

Least Common Multiple (LCM) of 52102 and 52106 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 52102 and 52106. First we will calculate the prime factors of 52102 and 52106.

Prime Factorization of 52102

Prime Factorization of 52106

Now multiplying the highest exponent prime factors to calculate the LCM of 52102 and 52106.

LCM(52102,52106) = 2¹ × 109¹ × 239¹ × 26053¹
LCM(52102,52106) = 1357413406