What is the Least Common Multiple of 10056 and 10076?

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 10056 and 10076 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 10056 and 10076, than apply into the LCM equation.

GCF(10056,10076) = 4
LCM(10056,10076) = ( 10056 × 10076) / 4
LCM(10056,10076) = 101324256 / 4
LCM(10056,10076) = 25331064

Least Common Multiple (LCM) of 10056 and 10076 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 10056 and 10076. First we will calculate the prime factors of 10056 and 10076.

Prime Factorization of 10056

Prime Factorization of 10076

Now multiplying the highest exponent prime factors to calculate the LCM of 10056 and 10076.

LCM(10056,10076) = 2³ × 3¹ × 419¹ × 11¹ × 229¹
LCM(10056,10076) = 25331064