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What is the Least Common Multiple of 97661 and 97681?

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 97661 and 97681 is 9539624141.

LCM(97661,97681) = 9539624141

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Least Common Multiple of 97661 and 97681 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 97661 and 97681, than apply into the LCM equation.

GCF(97661,97681) = 1
LCM(97661,97681) = ( 97661 × 97681) / 1
LCM(97661,97681) = 9539624141 / 1
LCM(97661,97681) = 9539624141

Least Common Multiple (LCM) of 97661 and 97681 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 97661 and 97681. First we will calculate the prime factors of 97661 and 97681.

Prime Factorization of 97661

Prime factors of 97661 are 61, 1601. Prime factorization of 97661 in exponential form is:

97661 = 611 × 16011

Prime Factorization of 97681

Prime factors of 97681 are 23, 31, 137. Prime factorization of 97681 in exponential form is:

97681 = 231 × 311 × 1371

Now multiplying the highest exponent prime factors to calculate the LCM of 97661 and 97681.

LCM(97661,97681) = 611 × 16011 × 231 × 311 × 1371
LCM(97661,97681) = 9539624141