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What is the Least Common Multiple of 1982 and 1993?

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 1982 and 1993 is 3950126.

LCM(1982,1993) = 3950126

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Least Common Multiple of 1982 and 1993 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1982 and 1993, than apply into the LCM equation.

GCF(1982,1993) = 1
LCM(1982,1993) = ( 1982 × 1993) / 1
LCM(1982,1993) = 3950126 / 1
LCM(1982,1993) = 3950126

Least Common Multiple (LCM) of 1982 and 1993 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 1982 and 1993. First we will calculate the prime factors of 1982 and 1993.

Prime Factorization of 1982

Prime factors of 1982 are 2, 991. Prime factorization of 1982 in exponential form is:

1982 = 21 × 9911

Prime Factorization of 1993

Prime factors of 1993 are 1993. Prime factorization of 1993 in exponential form is:

1993 = 19931

Now multiplying the highest exponent prime factors to calculate the LCM of 1982 and 1993.

LCM(1982,1993) = 21 × 9911 × 19931
LCM(1982,1993) = 3950126