What is the Least Common Multiple of 7210 and 7230?

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 7230 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 7230, than apply into the LCM equation.

GCF(7210,7230) = 10
LCM(7210,7230) = ( 7210 × 7230) / 10
LCM(7210,7230) = 52128300 / 10
LCM(7210,7230) = 5212830

Least Common Multiple (LCM) of 7210 and 7230 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 7210 and 7230. First we will calculate the prime factors of 7210 and 7230.

Prime Factorization of 7210

Prime Factorization of 7230

Now multiplying the highest exponent prime factors to calculate the LCM of 7210 and 7230.

LCM(7210,7230) = 2¹ × 5¹ × 7¹ × 103¹ × 3¹ × 241¹
LCM(7210,7230) = 5212830