What is the Least Common Multiple of 11890 and 11902?

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 11890 and 11902 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 11890 and 11902, than apply into the LCM equation.

GCF(11890,11902) = 2
LCM(11890,11902) = ( 11890 × 11902) / 2
LCM(11890,11902) = 141514780 / 2
LCM(11890,11902) = 70757390

Least Common Multiple (LCM) of 11890 and 11902 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 11890 and 11902. First we will calculate the prime factors of 11890 and 11902.

Prime Factorization of 11890

Prime Factorization of 11902

Now multiplying the highest exponent prime factors to calculate the LCM of 11890 and 11902.

LCM(11890,11902) = 2¹ × 5¹ × 29¹ × 41¹ × 11¹ × 541¹
LCM(11890,11902) = 70757390