What is the Least Common Multiple of 12420 and 12434?

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 12420 and 12434 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 12420 and 12434, than apply into the LCM equation.

GCF(12420,12434) = 2
LCM(12420,12434) = ( 12420 × 12434) / 2
LCM(12420,12434) = 154430280 / 2
LCM(12420,12434) = 77215140

Least Common Multiple (LCM) of 12420 and 12434 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 12420 and 12434. First we will calculate the prime factors of 12420 and 12434.

Prime Factorization of 12420

Prime Factorization of 12434

Now multiplying the highest exponent prime factors to calculate the LCM of 12420 and 12434.

LCM(12420,12434) = 2² × 3³ × 5¹ × 23¹ × 6217¹
LCM(12420,12434) = 77215140