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What is the Least Common Multiple of 30973 and 30991?

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 30973 and 30991 is 959884243.

LCM(30973,30991) = 959884243

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Least Common Multiple of 30973 and 30991 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 30973 and 30991, than apply into the LCM equation.

GCF(30973,30991) = 1
LCM(30973,30991) = ( 30973 × 30991) / 1
LCM(30973,30991) = 959884243 / 1
LCM(30973,30991) = 959884243

Least Common Multiple (LCM) of 30973 and 30991 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 30973 and 30991. First we will calculate the prime factors of 30973 and 30991.

Prime Factorization of 30973

Prime factors of 30973 are 47, 659. Prime factorization of 30973 in exponential form is:

30973 = 471 × 6591

Prime Factorization of 30991

Prime factors of 30991 are 17, 1823. Prime factorization of 30991 in exponential form is:

30991 = 171 × 18231

Now multiplying the highest exponent prime factors to calculate the LCM of 30973 and 30991.

LCM(30973,30991) = 471 × 6591 × 171 × 18231
LCM(30973,30991) = 959884243