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What is the Least Common Multiple of 1446 and 1458?

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 (LCM) of 1446 and 1458 is 351378.

LCM(1446,1458) = 351378

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Least Common Multiple of 1446 and 1458 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1446 and 1458, than apply into the LCM equation.

GCF(1446,1458) = 6
LCM(1446,1458) = ( 1446 × 1458) / 6
LCM(1446,1458) = 2108268 / 6
LCM(1446,1458) = 351378

Least Common Multiple (LCM) of 1446 and 1458 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 1446 and 1458. First we will calculate the prime factors of 1446 and 1458.

Prime Factorization of 1446

Prime factors of 1446 are 2, 3, 241. Prime factorization of 1446 in exponential form is:

1446 = 21 × 31 × 2411

Prime Factorization of 1458

Prime factors of 1458 are 2, 3. Prime factorization of 1458 in exponential form is:

1458 = 21 × 36

Now multiplying the highest exponent prime factors to calculate the LCM of 1446 and 1458.

LCM(1446,1458) = 21 × 36 × 2411
LCM(1446,1458) = 351378