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What is the Least Common Multiple of 42451 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 42451 and 42455 is 1802257205.

LCM(42451,42455) = 1802257205

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Least Common Multiple of 42451 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 42451 and 42455, than apply into the LCM equation.

GCF(42451,42455) = 1
LCM(42451,42455) = ( 42451 × 42455) / 1
LCM(42451,42455) = 1802257205 / 1
LCM(42451,42455) = 1802257205

Least Common Multiple (LCM) of 42451 and 42455 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 42451 and 42455. First we will calculate the prime factors of 42451 and 42455.

Prime Factorization of 42451

Prime factors of 42451 are 42451. Prime factorization of 42451 in exponential form is:

42451 = 424511

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 42451 and 42455.

LCM(42451,42455) = 424511 × 51 × 71 × 12131
LCM(42451,42455) = 1802257205