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What is the Least Common Multiple of 7973 and 7992?

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 7992 is 63720216.

LCM(7973,7992) = 63720216

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Least Common Multiple of 7973 and 7992 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 7992, than apply into the LCM equation.

GCF(7973,7992) = 1
LCM(7973,7992) = ( 7973 × 7992) / 1
LCM(7973,7992) = 63720216 / 1
LCM(7973,7992) = 63720216

Least Common Multiple (LCM) of 7973 and 7992 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 7973 and 7992. First we will calculate the prime factors of 7973 and 7992.

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 7992

Prime factors of 7992 are 2, 3, 37. Prime factorization of 7992 in exponential form is:

7992 = 23 × 33 × 371

Now multiplying the highest exponent prime factors to calculate the LCM of 7973 and 7992.

LCM(7973,7992) = 71 × 171 × 671 × 23 × 33 × 371
LCM(7973,7992) = 63720216