What is the Least Common Multiple of 12434 and 12446?

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 12434 and 12446 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 12434 and 12446, than apply into the LCM equation.

GCF(12434,12446) = 2
LCM(12434,12446) = ( 12434 × 12446) / 2
LCM(12434,12446) = 154753564 / 2
LCM(12434,12446) = 77376782

Least Common Multiple (LCM) of 12434 and 12446 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 12434 and 12446. First we will calculate the prime factors of 12434 and 12446.

Prime Factorization of 12434

Prime Factorization of 12446

Now multiplying the highest exponent prime factors to calculate the LCM of 12434 and 12446.

LCM(12434,12446) = 2¹ × 6217¹ × 7² × 127¹
LCM(12434,12446) = 77376782