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What is the Least Common Multiple of 93980 and 93991?

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 93980 and 93991 is 8833274180.

LCM(93980,93991) = 8833274180

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Least Common Multiple of 93980 and 93991 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 93980 and 93991, than apply into the LCM equation.

GCF(93980,93991) = 1
LCM(93980,93991) = ( 93980 × 93991) / 1
LCM(93980,93991) = 8833274180 / 1
LCM(93980,93991) = 8833274180

Least Common Multiple (LCM) of 93980 and 93991 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 93980 and 93991. First we will calculate the prime factors of 93980 and 93991.

Prime Factorization of 93980

Prime factors of 93980 are 2, 5, 37, 127. Prime factorization of 93980 in exponential form is:

93980 = 22 × 51 × 371 × 1271

Prime Factorization of 93991

Prime factors of 93991 are 193, 487. Prime factorization of 93991 in exponential form is:

93991 = 1931 × 4871

Now multiplying the highest exponent prime factors to calculate the LCM of 93980 and 93991.

LCM(93980,93991) = 22 × 51 × 371 × 1271 × 1931 × 4871
LCM(93980,93991) = 8833274180