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What is the Least Common Multiple of 7202 and 7213?

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 7213 is 51948026.

LCM(7202,7213) = 51948026

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Least Common Multiple of 7202 and 7213 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 7213, than apply into the LCM equation.

GCF(7202,7213) = 1
LCM(7202,7213) = ( 7202 × 7213) / 1
LCM(7202,7213) = 51948026 / 1
LCM(7202,7213) = 51948026

Least Common Multiple (LCM) of 7202 and 7213 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 7202 and 7213. First we will calculate the prime factors of 7202 and 7213.

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 7213

Prime factors of 7213 are 7213. Prime factorization of 7213 in exponential form is:

7213 = 72131

Now multiplying the highest exponent prime factors to calculate the LCM of 7202 and 7213.

LCM(7202,7213) = 21 × 131 × 2771 × 72131
LCM(7202,7213) = 51948026