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What is the Least Common Multiple of 97087 and 97091?

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 97087 and 97091 is 9426273917.

LCM(97087,97091) = 9426273917

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Least Common Multiple of 97087 and 97091 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 97087 and 97091, than apply into the LCM equation.

GCF(97087,97091) = 1
LCM(97087,97091) = ( 97087 × 97091) / 1
LCM(97087,97091) = 9426273917 / 1
LCM(97087,97091) = 9426273917

Least Common Multiple (LCM) of 97087 and 97091 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 97087 and 97091. First we will calculate the prime factors of 97087 and 97091.

Prime Factorization of 97087

Prime factors of 97087 are 17, 5711. Prime factorization of 97087 in exponential form is:

97087 = 171 × 57111

Prime Factorization of 97091

Prime factors of 97091 are 79, 1229. Prime factorization of 97091 in exponential form is:

97091 = 791 × 12291

Now multiplying the highest exponent prime factors to calculate the LCM of 97087 and 97091.

LCM(97087,97091) = 171 × 57111 × 791 × 12291
LCM(97087,97091) = 9426273917