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What is the Least Common Multiple of 30943 and 30954?

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 30943 and 30954 is 87073602.

LCM(30943,30954) = 87073602

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Least Common Multiple of 30943 and 30954 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 30943 and 30954, than apply into the LCM equation.

GCF(30943,30954) = 11
LCM(30943,30954) = ( 30943 × 30954) / 11
LCM(30943,30954) = 957809622 / 11
LCM(30943,30954) = 87073602

Least Common Multiple (LCM) of 30943 and 30954 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 30943 and 30954. First we will calculate the prime factors of 30943 and 30954.

Prime Factorization of 30943

Prime factors of 30943 are 11, 29, 97. Prime factorization of 30943 in exponential form is:

30943 = 111 × 291 × 971

Prime Factorization of 30954

Prime factors of 30954 are 2, 3, 7, 11, 67. Prime factorization of 30954 in exponential form is:

30954 = 21 × 31 × 71 × 111 × 671

Now multiplying the highest exponent prime factors to calculate the LCM of 30943 and 30954.

LCM(30943,30954) = 111 × 291 × 971 × 21 × 31 × 71 × 671
LCM(30943,30954) = 87073602