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What is the Least Common Multiple of 87562 and 87569?

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 87562 and 87569 is 7667716778.

LCM(87562,87569) = 7667716778

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Least Common Multiple of 87562 and 87569 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 87562 and 87569, than apply into the LCM equation.

GCF(87562,87569) = 1
LCM(87562,87569) = ( 87562 × 87569) / 1
LCM(87562,87569) = 7667716778 / 1
LCM(87562,87569) = 7667716778

Least Common Multiple (LCM) of 87562 and 87569 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 87562 and 87569. First we will calculate the prime factors of 87562 and 87569.

Prime Factorization of 87562

Prime factors of 87562 are 2, 43781. Prime factorization of 87562 in exponential form is:

87562 = 21 × 437811

Prime Factorization of 87569

Prime factors of 87569 are 67, 1307. Prime factorization of 87569 in exponential form is:

87569 = 671 × 13071

Now multiplying the highest exponent prime factors to calculate the LCM of 87562 and 87569.

LCM(87562,87569) = 21 × 437811 × 671 × 13071
LCM(87562,87569) = 7667716778