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What is the Least Common Multiple of 3949 and 3954?

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 3949 and 3954 is 15614346.

LCM(3949,3954) = 15614346

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Least Common Multiple of 3949 and 3954 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3949 and 3954, than apply into the LCM equation.

GCF(3949,3954) = 1
LCM(3949,3954) = ( 3949 × 3954) / 1
LCM(3949,3954) = 15614346 / 1
LCM(3949,3954) = 15614346

Least Common Multiple (LCM) of 3949 and 3954 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 3949 and 3954. First we will calculate the prime factors of 3949 and 3954.

Prime Factorization of 3949

Prime factors of 3949 are 11, 359. Prime factorization of 3949 in exponential form is:

3949 = 111 × 3591

Prime Factorization of 3954

Prime factors of 3954 are 2, 3, 659. Prime factorization of 3954 in exponential form is:

3954 = 21 × 31 × 6591

Now multiplying the highest exponent prime factors to calculate the LCM of 3949 and 3954.

LCM(3949,3954) = 111 × 3591 × 21 × 31 × 6591
LCM(3949,3954) = 15614346