What is the Least Common Multiple of 11050 and 11056?

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 11050 and 11056 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 11050 and 11056, than apply into the LCM equation.

GCF(11050,11056) = 2
LCM(11050,11056) = ( 11050 × 11056) / 2
LCM(11050,11056) = 122168800 / 2
LCM(11050,11056) = 61084400

Least Common Multiple (LCM) of 11050 and 11056 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 11050 and 11056. First we will calculate the prime factors of 11050 and 11056.

Prime Factorization of 11050

Prime Factorization of 11056

Now multiplying the highest exponent prime factors to calculate the LCM of 11050 and 11056.

LCM(11050,11056) = 2⁴ × 5² × 13¹ × 17¹ × 691¹
LCM(11050,11056) = 61084400