What is the Least Common Multiple of 7170 and 7183?

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 7170 and 7183 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7170 and 7183, than apply into the LCM equation.

GCF(7170,7183) = 1
LCM(7170,7183) = ( 7170 × 7183) / 1
LCM(7170,7183) = 51502110 / 1
LCM(7170,7183) = 51502110

Least Common Multiple (LCM) of 7170 and 7183 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 7170 and 7183. First we will calculate the prime factors of 7170 and 7183.

Prime Factorization of 7170

Prime Factorization of 7183

Now multiplying the highest exponent prime factors to calculate the LCM of 7170 and 7183.

LCM(7170,7183) = 2¹ × 3¹ × 5¹ × 239¹ × 11¹ × 653¹
LCM(7170,7183) = 51502110