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What is the Least Common Multiple of 97911 and 97920?

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 97911 and 97920 is 1065271680.

LCM(97911,97920) = 1065271680

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Least Common Multiple of 97911 and 97920 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 97911 and 97920, than apply into the LCM equation.

GCF(97911,97920) = 9
LCM(97911,97920) = ( 97911 × 97920) / 9
LCM(97911,97920) = 9587445120 / 9
LCM(97911,97920) = 1065271680

Least Common Multiple (LCM) of 97911 and 97920 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 97911 and 97920. First we will calculate the prime factors of 97911 and 97920.

Prime Factorization of 97911

Prime factors of 97911 are 3, 11, 23, 43. Prime factorization of 97911 in exponential form is:

97911 = 32 × 111 × 231 × 431

Prime Factorization of 97920

Prime factors of 97920 are 2, 3, 5, 17. Prime factorization of 97920 in exponential form is:

97920 = 27 × 32 × 51 × 171

Now multiplying the highest exponent prime factors to calculate the LCM of 97911 and 97920.

LCM(97911,97920) = 32 × 111 × 231 × 431 × 27 × 51 × 171
LCM(97911,97920) = 1065271680

Related Least Common Multiples of 97911

Related Least Common Multiples of 97920