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What is the Least Common Multiple of 97603 and 97615?

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 97603 and 97615 is 9527516845.

LCM(97603,97615) = 9527516845

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Least Common Multiple of 97603 and 97615 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 97603 and 97615, than apply into the LCM equation.

GCF(97603,97615) = 1
LCM(97603,97615) = ( 97603 × 97615) / 1
LCM(97603,97615) = 9527516845 / 1
LCM(97603,97615) = 9527516845

Least Common Multiple (LCM) of 97603 and 97615 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 97603 and 97615. First we will calculate the prime factors of 97603 and 97615.

Prime Factorization of 97603

Prime factors of 97603 are 11, 19, 467. Prime factorization of 97603 in exponential form is:

97603 = 111 × 191 × 4671

Prime Factorization of 97615

Prime factors of 97615 are 5, 7, 2789. Prime factorization of 97615 in exponential form is:

97615 = 51 × 71 × 27891

Now multiplying the highest exponent prime factors to calculate the LCM of 97603 and 97615.

LCM(97603,97615) = 111 × 191 × 4671 × 51 × 71 × 27891
LCM(97603,97615) = 9527516845