What is the Least Common Multiple of 7140 and 7144?

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 7140 and 7144 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7140 and 7144, than apply into the LCM equation.

GCF(7140,7144) = 4
LCM(7140,7144) = ( 7140 × 7144) / 4
LCM(7140,7144) = 51008160 / 4
LCM(7140,7144) = 12752040

Least Common Multiple (LCM) of 7140 and 7144 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 7140 and 7144. First we will calculate the prime factors of 7140 and 7144.

Prime Factorization of 7140

Prime Factorization of 7144

Now multiplying the highest exponent prime factors to calculate the LCM of 7140 and 7144.

LCM(7140,7144) = 2³ × 3¹ × 5¹ × 7¹ × 17¹ × 19¹ × 47¹
LCM(7140,7144) = 12752040