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What is the Least Common Multiple of 87764 and 87771?

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 87764 and 87771 is 7703134044.

LCM(87764,87771) = 7703134044

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Least Common Multiple of 87764 and 87771 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 87764 and 87771, than apply into the LCM equation.

GCF(87764,87771) = 1
LCM(87764,87771) = ( 87764 × 87771) / 1
LCM(87764,87771) = 7703134044 / 1
LCM(87764,87771) = 7703134044

Least Common Multiple (LCM) of 87764 and 87771 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 87764 and 87771. First we will calculate the prime factors of 87764 and 87771.

Prime Factorization of 87764

Prime factors of 87764 are 2, 37, 593. Prime factorization of 87764 in exponential form is:

87764 = 22 × 371 × 5931

Prime Factorization of 87771

Prime factors of 87771 are 3, 17, 1721. Prime factorization of 87771 in exponential form is:

87771 = 31 × 171 × 17211

Now multiplying the highest exponent prime factors to calculate the LCM of 87764 and 87771.

LCM(87764,87771) = 22 × 371 × 5931 × 31 × 171 × 17211
LCM(87764,87771) = 7703134044