What is the Least Common Multiple of 12940 and 12953?

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 12940 and 12953 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 12940 and 12953, than apply into the LCM equation.

GCF(12940,12953) = 1
LCM(12940,12953) = ( 12940 × 12953) / 1
LCM(12940,12953) = 167611820 / 1
LCM(12940,12953) = 167611820

Least Common Multiple (LCM) of 12940 and 12953 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 12940 and 12953. First we will calculate the prime factors of 12940 and 12953.

Prime Factorization of 12940

Prime Factorization of 12953

Now multiplying the highest exponent prime factors to calculate the LCM of 12940 and 12953.

LCM(12940,12953) = 2² × 5¹ × 647¹ × 12953¹
LCM(12940,12953) = 167611820