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What is the Least Common Multiple of 53071 and 53087?

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 53071 and 53087 is 2817380177.

LCM(53071,53087) = 2817380177

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Least Common Multiple of 53071 and 53087 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 53071 and 53087, than apply into the LCM equation.

GCF(53071,53087) = 1
LCM(53071,53087) = ( 53071 × 53087) / 1
LCM(53071,53087) = 2817380177 / 1
LCM(53071,53087) = 2817380177

Least Common Multiple (LCM) of 53071 and 53087 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 53071 and 53087. First we will calculate the prime factors of 53071 and 53087.

Prime Factorization of 53071

Prime factors of 53071 are 73, 727. Prime factorization of 53071 in exponential form is:

53071 = 731 × 7271

Prime Factorization of 53087

Prime factors of 53087 are 53087. Prime factorization of 53087 in exponential form is:

53087 = 530871

Now multiplying the highest exponent prime factors to calculate the LCM of 53071 and 53087.

LCM(53071,53087) = 731 × 7271 × 530871
LCM(53071,53087) = 2817380177