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What is the Least Common Multiple of 1462 and 1476?

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 1462 and 1476 is 1078956.

LCM(1462,1476) = 1078956

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Least Common Multiple of 1462 and 1476 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1462 and 1476, than apply into the LCM equation.

GCF(1462,1476) = 2
LCM(1462,1476) = ( 1462 × 1476) / 2
LCM(1462,1476) = 2157912 / 2
LCM(1462,1476) = 1078956

Least Common Multiple (LCM) of 1462 and 1476 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 1462 and 1476. First we will calculate the prime factors of 1462 and 1476.

Prime Factorization of 1462

Prime factors of 1462 are 2, 17, 43. Prime factorization of 1462 in exponential form is:

1462 = 21 × 171 × 431

Prime Factorization of 1476

Prime factors of 1476 are 2, 3, 41. Prime factorization of 1476 in exponential form is:

1476 = 22 × 32 × 411

Now multiplying the highest exponent prime factors to calculate the LCM of 1462 and 1476.

LCM(1462,1476) = 22 × 171 × 431 × 32 × 411
LCM(1462,1476) = 1078956