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What is the Least Common Multiple of 87421 and 87427?

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 87421 and 87427 is 7642955767.

LCM(87421,87427) = 7642955767

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Least Common Multiple of 87421 and 87427 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 87421 and 87427, than apply into the LCM equation.

GCF(87421,87427) = 1
LCM(87421,87427) = ( 87421 × 87427) / 1
LCM(87421,87427) = 7642955767 / 1
LCM(87421,87427) = 7642955767

Least Common Multiple (LCM) of 87421 and 87427 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 87421 and 87427. First we will calculate the prime factors of 87421 and 87427.

Prime Factorization of 87421

Prime factors of 87421 are 87421. Prime factorization of 87421 in exponential form is:

87421 = 874211

Prime Factorization of 87427

Prime factors of 87427 are 87427. Prime factorization of 87427 in exponential form is:

87427 = 874271

Now multiplying the highest exponent prime factors to calculate the LCM of 87421 and 87427.

LCM(87421,87427) = 874211 × 874271
LCM(87421,87427) = 7642955767