What is the Least Common Multiple of 7978 and 7984?

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 7978 and 7984 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7978 and 7984, than apply into the LCM equation.

GCF(7978,7984) = 2
LCM(7978,7984) = ( 7978 × 7984) / 2
LCM(7978,7984) = 63696352 / 2
LCM(7978,7984) = 31848176

Least Common Multiple (LCM) of 7978 and 7984 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 7978 and 7984. First we will calculate the prime factors of 7978 and 7984.

Prime Factorization of 7978

Prime Factorization of 7984

Now multiplying the highest exponent prime factors to calculate the LCM of 7978 and 7984.

LCM(7978,7984) = 2⁴ × 3989¹ × 499¹
LCM(7978,7984) = 31848176