What is the Least Common Multiple of 7008 and 7025?

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 7008 and 7025 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7008 and 7025, than apply into the LCM equation.

GCF(7008,7025) = 1
LCM(7008,7025) = ( 7008 × 7025) / 1
LCM(7008,7025) = 49231200 / 1
LCM(7008,7025) = 49231200

Least Common Multiple (LCM) of 7008 and 7025 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 7008 and 7025. First we will calculate the prime factors of 7008 and 7025.

Prime Factorization of 7008

Prime Factorization of 7025

Now multiplying the highest exponent prime factors to calculate the LCM of 7008 and 7025.

LCM(7008,7025) = 2⁵ × 3¹ × 73¹ × 5² × 281¹
LCM(7008,7025) = 49231200