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What is the Least Common Multiple of 97079 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 97079 and 97091 is 9425497189.

LCM(97079,97091) = 9425497189

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Least Common Multiple of 97079 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 97079 and 97091, than apply into the LCM equation.

GCF(97079,97091) = 1
LCM(97079,97091) = ( 97079 × 97091) / 1
LCM(97079,97091) = 9425497189 / 1
LCM(97079,97091) = 9425497189

Least Common Multiple (LCM) of 97079 and 97091 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 97079 and 97091. First we will calculate the prime factors of 97079 and 97091.

Prime Factorization of 97079

Prime factors of 97079 are 193, 503. Prime factorization of 97079 in exponential form is:

97079 = 1931 × 5031

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 97079 and 97091.

LCM(97079,97091) = 1931 × 5031 × 791 × 12291
LCM(97079,97091) = 9425497189