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What is the Least Common Multiple of 42437 and 42455?

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 42437 and 42455 is 1801662835.

LCM(42437,42455) = 1801662835

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Least Common Multiple of 42437 and 42455 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 42437 and 42455, than apply into the LCM equation.

GCF(42437,42455) = 1
LCM(42437,42455) = ( 42437 × 42455) / 1
LCM(42437,42455) = 1801662835 / 1
LCM(42437,42455) = 1801662835

Least Common Multiple (LCM) of 42437 and 42455 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 42437 and 42455. First we will calculate the prime factors of 42437 and 42455.

Prime Factorization of 42437

Prime factors of 42437 are 42437. Prime factorization of 42437 in exponential form is:

42437 = 424371

Prime Factorization of 42455

Prime factors of 42455 are 5, 7, 1213. Prime factorization of 42455 in exponential form is:

42455 = 51 × 71 × 12131

Now multiplying the highest exponent prime factors to calculate the LCM of 42437 and 42455.

LCM(42437,42455) = 424371 × 51 × 71 × 12131
LCM(42437,42455) = 1801662835