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What is the Least Common Multiple of 56435 and 56451?

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 56435 and 56451 is 3185812185.

LCM(56435,56451) = 3185812185

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Least Common Multiple of 56435 and 56451 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 56435 and 56451, than apply into the LCM equation.

GCF(56435,56451) = 1
LCM(56435,56451) = ( 56435 × 56451) / 1
LCM(56435,56451) = 3185812185 / 1
LCM(56435,56451) = 3185812185

Least Common Multiple (LCM) of 56435 and 56451 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 56435 and 56451. First we will calculate the prime factors of 56435 and 56451.

Prime Factorization of 56435

Prime factors of 56435 are 5, 11287. Prime factorization of 56435 in exponential form is:

56435 = 51 × 112871

Prime Factorization of 56451

Prime factors of 56451 are 3, 31, 607. Prime factorization of 56451 in exponential form is:

56451 = 31 × 311 × 6071

Now multiplying the highest exponent prime factors to calculate the LCM of 56435 and 56451.

LCM(56435,56451) = 51 × 112871 × 31 × 311 × 6071
LCM(56435,56451) = 3185812185