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What is the Least Common Multiple of 97618 and 97622?

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 97618 and 97622 is 4764832198.

LCM(97618,97622) = 4764832198

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Least Common Multiple of 97618 and 97622 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 97618 and 97622, than apply into the LCM equation.

GCF(97618,97622) = 2
LCM(97618,97622) = ( 97618 × 97622) / 2
LCM(97618,97622) = 9529664396 / 2
LCM(97618,97622) = 4764832198

Least Common Multiple (LCM) of 97618 and 97622 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 97618 and 97622. First we will calculate the prime factors of 97618 and 97622.

Prime Factorization of 97618

Prime factors of 97618 are 2, 48809. Prime factorization of 97618 in exponential form is:

97618 = 21 × 488091

Prime Factorization of 97622

Prime factors of 97622 are 2, 7, 19, 367. Prime factorization of 97622 in exponential form is:

97622 = 21 × 71 × 191 × 3671

Now multiplying the highest exponent prime factors to calculate the LCM of 97618 and 97622.

LCM(97618,97622) = 21 × 488091 × 71 × 191 × 3671
LCM(97618,97622) = 4764832198