What is the Least Common Multiple of 12924 and 12940?

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 12924 and 12940 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 12924 and 12940, than apply into the LCM equation.

GCF(12924,12940) = 4
LCM(12924,12940) = ( 12924 × 12940) / 4
LCM(12924,12940) = 167236560 / 4
LCM(12924,12940) = 41809140

Least Common Multiple (LCM) of 12924 and 12940 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 12924 and 12940. First we will calculate the prime factors of 12924 and 12940.

Prime Factorization of 12924

Prime Factorization of 12940

Now multiplying the highest exponent prime factors to calculate the LCM of 12924 and 12940.

LCM(12924,12940) = 2² × 3² × 359¹ × 5¹ × 647¹
LCM(12924,12940) = 41809140