What is the Least Common Multiple of 7974 and 7982?

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 7982 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 7982, than apply into the LCM equation.

GCF(7974,7982) = 2
LCM(7974,7982) = ( 7974 × 7982) / 2
LCM(7974,7982) = 63648468 / 2
LCM(7974,7982) = 31824234

Least Common Multiple (LCM) of 7974 and 7982 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 7974 and 7982. First we will calculate the prime factors of 7974 and 7982.

Prime Factorization of 7974

Prime Factorization of 7982

Now multiplying the highest exponent prime factors to calculate the LCM of 7974 and 7982.

LCM(7974,7982) = 2¹ × 3² × 443¹ × 13¹ × 307¹
LCM(7974,7982) = 31824234