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What is the Least Common Multiple of 30938 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 30938 and 30954 is 478827426.

LCM(30938,30954) = 478827426

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Least Common Multiple of 30938 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 30938 and 30954, than apply into the LCM equation.

GCF(30938,30954) = 2
LCM(30938,30954) = ( 30938 × 30954) / 2
LCM(30938,30954) = 957654852 / 2
LCM(30938,30954) = 478827426

Least Common Multiple (LCM) of 30938 and 30954 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 30938 and 30954. First we will calculate the prime factors of 30938 and 30954.

Prime Factorization of 30938

Prime factors of 30938 are 2, 31, 499. Prime factorization of 30938 in exponential form is:

30938 = 21 × 311 × 4991

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 30938 and 30954.

LCM(30938,30954) = 21 × 311 × 4991 × 31 × 71 × 111 × 671
LCM(30938,30954) = 478827426