What is the Least Common Multiple of 7145 and 7153?

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 7145 and 7153 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7145 and 7153, than apply into the LCM equation.

GCF(7145,7153) = 1
LCM(7145,7153) = ( 7145 × 7153) / 1
LCM(7145,7153) = 51108185 / 1
LCM(7145,7153) = 51108185

Least Common Multiple (LCM) of 7145 and 7153 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 7145 and 7153. First we will calculate the prime factors of 7145 and 7153.

Prime Factorization of 7145

Prime Factorization of 7153

Now multiplying the highest exponent prime factors to calculate the LCM of 7145 and 7153.

LCM(7145,7153) = 5¹ × 1429¹ × 23¹ × 311¹
LCM(7145,7153) = 51108185