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What is the Least Common Multiple of 30574 and 30591?

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 30574 and 30591 is 935289234.

LCM(30574,30591) = 935289234

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Least Common Multiple of 30574 and 30591 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 30574 and 30591, than apply into the LCM equation.

GCF(30574,30591) = 1
LCM(30574,30591) = ( 30574 × 30591) / 1
LCM(30574,30591) = 935289234 / 1
LCM(30574,30591) = 935289234

Least Common Multiple (LCM) of 30574 and 30591 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 30574 and 30591. First we will calculate the prime factors of 30574 and 30591.

Prime Factorization of 30574

Prime factors of 30574 are 2, 15287. Prime factorization of 30574 in exponential form is:

30574 = 21 × 152871

Prime Factorization of 30591

Prime factors of 30591 are 3, 11, 103. Prime factorization of 30591 in exponential form is:

30591 = 33 × 111 × 1031

Now multiplying the highest exponent prime factors to calculate the LCM of 30574 and 30591.

LCM(30574,30591) = 21 × 152871 × 33 × 111 × 1031
LCM(30574,30591) = 935289234