What is the Least Common Multiple of 7210 and 7217?

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 7210 and 7217 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7210 and 7217, than apply into the LCM equation.

GCF(7210,7217) = 7
LCM(7210,7217) = ( 7210 × 7217) / 7
LCM(7210,7217) = 52034570 / 7
LCM(7210,7217) = 7433510

Least Common Multiple (LCM) of 7210 and 7217 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 7210 and 7217. First we will calculate the prime factors of 7210 and 7217.

Prime Factorization of 7210

Prime Factorization of 7217

Now multiplying the highest exponent prime factors to calculate the LCM of 7210 and 7217.

LCM(7210,7217) = 2¹ × 5¹ × 7¹ × 103¹ × 1031¹
LCM(7210,7217) = 7433510