What is the Least Common Multiple of 11050 and 11070?

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 11070 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 11070, than apply into the LCM equation.

GCF(11050,11070) = 10
LCM(11050,11070) = ( 11050 × 11070) / 10
LCM(11050,11070) = 122323500 / 10
LCM(11050,11070) = 12232350

Least Common Multiple (LCM) of 11050 and 11070 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 11050 and 11070. First we will calculate the prime factors of 11050 and 11070.

Prime Factorization of 11050

Prime Factorization of 11070

Now multiplying the highest exponent prime factors to calculate the LCM of 11050 and 11070.

LCM(11050,11070) = 2¹ × 5² × 13¹ × 17¹ × 3³ × 41¹
LCM(11050,11070) = 12232350