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What is the Least Common Multiple of 88655 and 88671?

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 88655 and 88671 is 7861127505.

LCM(88655,88671) = 7861127505

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Least Common Multiple of 88655 and 88671 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 88655 and 88671, than apply into the LCM equation.

GCF(88655,88671) = 1
LCM(88655,88671) = ( 88655 × 88671) / 1
LCM(88655,88671) = 7861127505 / 1
LCM(88655,88671) = 7861127505

Least Common Multiple (LCM) of 88655 and 88671 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 88655 and 88671. First we will calculate the prime factors of 88655 and 88671.

Prime Factorization of 88655

Prime factors of 88655 are 5, 7, 17, 149. Prime factorization of 88655 in exponential form is:

88655 = 51 × 71 × 171 × 1491

Prime Factorization of 88671

Prime factors of 88671 are 3, 11, 2687. Prime factorization of 88671 in exponential form is:

88671 = 31 × 111 × 26871

Now multiplying the highest exponent prime factors to calculate the LCM of 88655 and 88671.

LCM(88655,88671) = 51 × 71 × 171 × 1491 × 31 × 111 × 26871
LCM(88655,88671) = 7861127505