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What is the Least Common Multiple of 62072 and 62086?

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 62072 and 62086 is 1926901096.

LCM(62072,62086) = 1926901096

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Least Common Multiple of 62072 and 62086 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 62072 and 62086, than apply into the LCM equation.

GCF(62072,62086) = 2
LCM(62072,62086) = ( 62072 × 62086) / 2
LCM(62072,62086) = 3853802192 / 2
LCM(62072,62086) = 1926901096

Least Common Multiple (LCM) of 62072 and 62086 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 62072 and 62086. First we will calculate the prime factors of 62072 and 62086.

Prime Factorization of 62072

Prime factors of 62072 are 2, 7759. Prime factorization of 62072 in exponential form is:

62072 = 23 × 77591

Prime Factorization of 62086

Prime factors of 62086 are 2, 37, 839. Prime factorization of 62086 in exponential form is:

62086 = 21 × 371 × 8391

Now multiplying the highest exponent prime factors to calculate the LCM of 62072 and 62086.

LCM(62072,62086) = 23 × 77591 × 371 × 8391
LCM(62072,62086) = 1926901096