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What is the Least Common Multiple of 1437 and 1455?

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 1437 and 1455 is 696945.

LCM(1437,1455) = 696945

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Least Common Multiple of 1437 and 1455 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1437 and 1455, than apply into the LCM equation.

GCF(1437,1455) = 3
LCM(1437,1455) = ( 1437 × 1455) / 3
LCM(1437,1455) = 2090835 / 3
LCM(1437,1455) = 696945

Least Common Multiple (LCM) of 1437 and 1455 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 1437 and 1455. First we will calculate the prime factors of 1437 and 1455.

Prime Factorization of 1437

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

1437 = 31 × 4791

Prime Factorization of 1455

Prime factors of 1455 are 3, 5, 97. Prime factorization of 1455 in exponential form is:

1455 = 31 × 51 × 971

Now multiplying the highest exponent prime factors to calculate the LCM of 1437 and 1455.

LCM(1437,1455) = 31 × 4791 × 51 × 971
LCM(1437,1455) = 696945