What is the Least Common Multiple of 6992 and 7000?

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 6992 and 7000 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6992 and 7000, than apply into the LCM equation.

GCF(6992,7000) = 8
LCM(6992,7000) = ( 6992 × 7000) / 8
LCM(6992,7000) = 48944000 / 8
LCM(6992,7000) = 6118000

Least Common Multiple (LCM) of 6992 and 7000 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 6992 and 7000. First we will calculate the prime factors of 6992 and 7000.

Prime Factorization of 6992

Prime Factorization of 7000

Now multiplying the highest exponent prime factors to calculate the LCM of 6992 and 7000.

LCM(6992,7000) = 2⁴ × 19¹ × 23¹ × 5³ × 7¹
LCM(6992,7000) = 6118000