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What is the Least Common Multiple of 7202 and 7219?

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 7202 and 7219 is 51991238.

LCM(7202,7219) = 51991238

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Least Common Multiple of 7202 and 7219 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7202 and 7219, than apply into the LCM equation.

GCF(7202,7219) = 1
LCM(7202,7219) = ( 7202 × 7219) / 1
LCM(7202,7219) = 51991238 / 1
LCM(7202,7219) = 51991238

Least Common Multiple (LCM) of 7202 and 7219 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 7202 and 7219. First we will calculate the prime factors of 7202 and 7219.

Prime Factorization of 7202

Prime factors of 7202 are 2, 13, 277. Prime factorization of 7202 in exponential form is:

7202 = 21 × 131 × 2771

Prime Factorization of 7219

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

7219 = 72191

Now multiplying the highest exponent prime factors to calculate the LCM of 7202 and 7219.

LCM(7202,7219) = 21 × 131 × 2771 × 72191
LCM(7202,7219) = 51991238