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What is the Least Common Multiple of 7219 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 (LCM) of 7219 and 7230 is 52193370.

LCM(7219,7230) = 52193370

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Least Common Multiple of 7219 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 7219 and 7230, than apply into the LCM equation.

GCF(7219,7230) = 1
LCM(7219,7230) = ( 7219 × 7230) / 1
LCM(7219,7230) = 52193370 / 1
LCM(7219,7230) = 52193370

Least Common Multiple (LCM) of 7219 and 7230 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 7219 and 7230. First we will calculate the prime factors of 7219 and 7230.

Prime Factorization of 7219

Prime factors of 7219 are 7219. Prime factorization of 7219 in exponential form is:

7219 = 72191

Prime Factorization of 7230

Prime factors of 7230 are 2, 3, 5, 241. Prime factorization of 7230 in exponential form is:

7230 = 21 × 31 × 51 × 2411

Now multiplying the highest exponent prime factors to calculate the LCM of 7219 and 7230.

LCM(7219,7230) = 72191 × 21 × 31 × 51 × 2411
LCM(7219,7230) = 52193370