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What is the Least Common Multiple of 1430 and 1437?

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 1430 and 1437 is 2054910.

LCM(1430,1437) = 2054910

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Least Common Multiple of 1430 and 1437 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1430 and 1437, than apply into the LCM equation.

GCF(1430,1437) = 1
LCM(1430,1437) = ( 1430 × 1437) / 1
LCM(1430,1437) = 2054910 / 1
LCM(1430,1437) = 2054910

Least Common Multiple (LCM) of 1430 and 1437 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 1430 and 1437. First we will calculate the prime factors of 1430 and 1437.

Prime Factorization of 1430

Prime factors of 1430 are 2, 5, 11, 13. Prime factorization of 1430 in exponential form is:

1430 = 21 × 51 × 111 × 131

Prime Factorization of 1437

Prime factors of 1437 are 3, 479. Prime factorization of 1437 in exponential form is:

1437 = 31 × 4791

Now multiplying the highest exponent prime factors to calculate the LCM of 1430 and 1437.

LCM(1430,1437) = 21 × 51 × 111 × 131 × 31 × 4791
LCM(1430,1437) = 2054910