What is the Least Common Multiple of 52104 and 52112?

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 52104 and 52112 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 52104 and 52112, than apply into the LCM equation.

GCF(52104,52112) = 8
LCM(52104,52112) = ( 52104 × 52112) / 8
LCM(52104,52112) = 2715243648 / 8
LCM(52104,52112) = 339405456

Least Common Multiple (LCM) of 52104 and 52112 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 52104 and 52112. First we will calculate the prime factors of 52104 and 52112.

Prime Factorization of 52104

Prime Factorization of 52112

Now multiplying the highest exponent prime factors to calculate the LCM of 52104 and 52112.

LCM(52104,52112) = 2⁴ × 3¹ × 13¹ × 167¹ × 3257¹
LCM(52104,52112) = 339405456