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What is the Least Common Multiple of 22057 and 22077?

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 22057 and 22077 is 486952389.

LCM(22057,22077) = 486952389

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Least Common Multiple of 22057 and 22077 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 22057 and 22077, than apply into the LCM equation.

GCF(22057,22077) = 1
LCM(22057,22077) = ( 22057 × 22077) / 1
LCM(22057,22077) = 486952389 / 1
LCM(22057,22077) = 486952389

Least Common Multiple (LCM) of 22057 and 22077 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 22057 and 22077. First we will calculate the prime factors of 22057 and 22077.

Prime Factorization of 22057

Prime factors of 22057 are 7, 23, 137. Prime factorization of 22057 in exponential form is:

22057 = 71 × 231 × 1371

Prime Factorization of 22077

Prime factors of 22077 are 3, 11, 223. Prime factorization of 22077 in exponential form is:

22077 = 32 × 111 × 2231

Now multiplying the highest exponent prime factors to calculate the LCM of 22057 and 22077.

LCM(22057,22077) = 71 × 231 × 1371 × 32 × 111 × 2231
LCM(22057,22077) = 486952389