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What is the Least Common Multiple of 7973 and 7988?

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 7973 and 7988 is 63688324.

LCM(7973,7988) = 63688324

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Least Common Multiple of 7973 and 7988 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7973 and 7988, than apply into the LCM equation.

GCF(7973,7988) = 1
LCM(7973,7988) = ( 7973 × 7988) / 1
LCM(7973,7988) = 63688324 / 1
LCM(7973,7988) = 63688324

Least Common Multiple (LCM) of 7973 and 7988 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 7973 and 7988. First we will calculate the prime factors of 7973 and 7988.

Prime Factorization of 7973

Prime factors of 7973 are 7, 17, 67. Prime factorization of 7973 in exponential form is:

7973 = 71 × 171 × 671

Prime Factorization of 7988

Prime factors of 7988 are 2, 1997. Prime factorization of 7988 in exponential form is:

7988 = 22 × 19971

Now multiplying the highest exponent prime factors to calculate the LCM of 7973 and 7988.

LCM(7973,7988) = 71 × 171 × 671 × 22 × 19971
LCM(7973,7988) = 63688324