What is the Least Common Multiple of 7974 and 7983?

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 of 7974 and 7983 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7974 and 7983, than apply into the LCM equation.

GCF(7974,7983) = 9
LCM(7974,7983) = ( 7974 × 7983) / 9
LCM(7974,7983) = 63656442 / 9
LCM(7974,7983) = 7072938

Least Common Multiple (LCM) of 7974 and 7983 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 7974 and 7983. First we will calculate the prime factors of 7974 and 7983.

Prime Factorization of 7974

Prime Factorization of 7983

Now multiplying the highest exponent prime factors to calculate the LCM of 7974 and 7983.

LCM(7974,7983) = 2¹ × 3² × 443¹ × 887¹
LCM(7974,7983) = 7072938