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What is the Least Common Multiple of 87613 and 87628?

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 87613 and 87628 is 7677351964.

LCM(87613,87628) = 7677351964

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Least Common Multiple of 87613 and 87628 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 87613 and 87628, than apply into the LCM equation.

GCF(87613,87628) = 1
LCM(87613,87628) = ( 87613 × 87628) / 1
LCM(87613,87628) = 7677351964 / 1
LCM(87613,87628) = 7677351964

Least Common Multiple (LCM) of 87613 and 87628 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 87613 and 87628. First we will calculate the prime factors of 87613 and 87628.

Prime Factorization of 87613

Prime factors of 87613 are 87613. Prime factorization of 87613 in exponential form is:

87613 = 876131

Prime Factorization of 87628

Prime factors of 87628 are 2, 19, 1153. Prime factorization of 87628 in exponential form is:

87628 = 22 × 191 × 11531

Now multiplying the highest exponent prime factors to calculate the LCM of 87613 and 87628.

LCM(87613,87628) = 876131 × 22 × 191 × 11531
LCM(87613,87628) = 7677351964