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What is the Least Common Multiple of 7938 and 7954?

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 7938 and 7954 is 31569426.

LCM(7938,7954) = 31569426

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Least Common Multiple of 7938 and 7954 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7938 and 7954, than apply into the LCM equation.

GCF(7938,7954) = 2
LCM(7938,7954) = ( 7938 × 7954) / 2
LCM(7938,7954) = 63138852 / 2
LCM(7938,7954) = 31569426

Least Common Multiple (LCM) of 7938 and 7954 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 7938 and 7954. First we will calculate the prime factors of 7938 and 7954.

Prime Factorization of 7938

Prime factors of 7938 are 2, 3, 7. Prime factorization of 7938 in exponential form is:

7938 = 21 × 34 × 72

Prime Factorization of 7954

Prime factors of 7954 are 2, 41, 97. Prime factorization of 7954 in exponential form is:

7954 = 21 × 411 × 971

Now multiplying the highest exponent prime factors to calculate the LCM of 7938 and 7954.

LCM(7938,7954) = 21 × 34 × 72 × 411 × 971
LCM(7938,7954) = 31569426