What is the Least Common Multiple of 11274 and 11290?

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 11274 and 11290 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 11274 and 11290, than apply into the LCM equation.

GCF(11274,11290) = 2
LCM(11274,11290) = ( 11274 × 11290) / 2
LCM(11274,11290) = 127283460 / 2
LCM(11274,11290) = 63641730

Least Common Multiple (LCM) of 11274 and 11290 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 11274 and 11290. First we will calculate the prime factors of 11274 and 11290.

Prime Factorization of 11274

Prime Factorization of 11290

Now multiplying the highest exponent prime factors to calculate the LCM of 11274 and 11290.

LCM(11274,11290) = 2¹ × 3¹ × 1879¹ × 5¹ × 1129¹
LCM(11274,11290) = 63641730