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What is the Least Common Multiple of 3950 and 3967?

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 3950 and 3967 is 15669650.

LCM(3950,3967) = 15669650

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Least Common Multiple of 3950 and 3967 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3950 and 3967, than apply into the LCM equation.

GCF(3950,3967) = 1
LCM(3950,3967) = ( 3950 × 3967) / 1
LCM(3950,3967) = 15669650 / 1
LCM(3950,3967) = 15669650

Least Common Multiple (LCM) of 3950 and 3967 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 3950 and 3967. First we will calculate the prime factors of 3950 and 3967.

Prime Factorization of 3950

Prime factors of 3950 are 2, 5, 79. Prime factorization of 3950 in exponential form is:

3950 = 21 × 52 × 791

Prime Factorization of 3967

Prime factors of 3967 are 3967. Prime factorization of 3967 in exponential form is:

3967 = 39671

Now multiplying the highest exponent prime factors to calculate the LCM of 3950 and 3967.

LCM(3950,3967) = 21 × 52 × 791 × 39671
LCM(3950,3967) = 15669650