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What is the Least Common Multiple of 7211 and 7228?

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 7211 and 7228 is 52121108.

LCM(7211,7228) = 52121108

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Least Common Multiple of 7211 and 7228 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7211 and 7228, than apply into the LCM equation.

GCF(7211,7228) = 1
LCM(7211,7228) = ( 7211 × 7228) / 1
LCM(7211,7228) = 52121108 / 1
LCM(7211,7228) = 52121108

Least Common Multiple (LCM) of 7211 and 7228 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 7211 and 7228. First we will calculate the prime factors of 7211 and 7228.

Prime Factorization of 7211

Prime factors of 7211 are 7211. Prime factorization of 7211 in exponential form is:

7211 = 72111

Prime Factorization of 7228

Prime factors of 7228 are 2, 13, 139. Prime factorization of 7228 in exponential form is:

7228 = 22 × 131 × 1391

Now multiplying the highest exponent prime factors to calculate the LCM of 7211 and 7228.

LCM(7211,7228) = 72111 × 22 × 131 × 1391
LCM(7211,7228) = 52121108