What is the Least Common Multiple of 1434 and 1446?

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 1434 and 1446 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1434 and 1446, than apply into the LCM equation.

GCF(1434,1446) = 6
LCM(1434,1446) = ( 1434 × 1446) / 6
LCM(1434,1446) = 2073564 / 6
LCM(1434,1446) = 345594

Least Common Multiple (LCM) of 1434 and 1446 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 1434 and 1446. First we will calculate the prime factors of 1434 and 1446.

Prime Factorization of 1434

Prime Factorization of 1446

Now multiplying the highest exponent prime factors to calculate the LCM of 1434 and 1446.

LCM(1434,1446) = 2¹ × 3¹ × 239¹ × 241¹
LCM(1434,1446) = 345594