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What is the Least Common Multiple of 3946 and 3955?

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 3946 and 3955 is 15606430.

LCM(3946,3955) = 15606430

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Least Common Multiple of 3946 and 3955 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3946 and 3955, than apply into the LCM equation.

GCF(3946,3955) = 1
LCM(3946,3955) = ( 3946 × 3955) / 1
LCM(3946,3955) = 15606430 / 1
LCM(3946,3955) = 15606430

Least Common Multiple (LCM) of 3946 and 3955 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 3946 and 3955. First we will calculate the prime factors of 3946 and 3955.

Prime Factorization of 3946

Prime factors of 3946 are 2, 1973. Prime factorization of 3946 in exponential form is:

3946 = 21 × 19731

Prime Factorization of 3955

Prime factors of 3955 are 5, 7, 113. Prime factorization of 3955 in exponential form is:

3955 = 51 × 71 × 1131

Now multiplying the highest exponent prime factors to calculate the LCM of 3946 and 3955.

LCM(3946,3955) = 21 × 19731 × 51 × 71 × 1131
LCM(3946,3955) = 15606430