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What is the Least Common Multiple of 65697 and 65703?

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 65697 and 65703 is 1438829997.

LCM(65697,65703) = 1438829997

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Least Common Multiple of 65697 and 65703 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 65697 and 65703, than apply into the LCM equation.

GCF(65697,65703) = 3
LCM(65697,65703) = ( 65697 × 65703) / 3
LCM(65697,65703) = 4316489991 / 3
LCM(65697,65703) = 1438829997

Least Common Multiple (LCM) of 65697 and 65703 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 65697 and 65703. First we will calculate the prime factors of 65697 and 65703.

Prime Factorization of 65697

Prime factors of 65697 are 3, 61, 359. Prime factorization of 65697 in exponential form is:

65697 = 31 × 611 × 3591

Prime Factorization of 65703

Prime factors of 65703 are 3, 11, 181. Prime factorization of 65703 in exponential form is:

65703 = 31 × 112 × 1811

Now multiplying the highest exponent prime factors to calculate the LCM of 65697 and 65703.

LCM(65697,65703) = 31 × 611 × 3591 × 112 × 1811
LCM(65697,65703) = 1438829997