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What is the Least Common Multiple of 22057 and 22061?

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 22061 is 486599477.

LCM(22057,22061) = 486599477

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Least Common Multiple of 22057 and 22061 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 22061, than apply into the LCM equation.

GCF(22057,22061) = 1
LCM(22057,22061) = ( 22057 × 22061) / 1
LCM(22057,22061) = 486599477 / 1
LCM(22057,22061) = 486599477

Least Common Multiple (LCM) of 22057 and 22061 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 22057 and 22061. First we will calculate the prime factors of 22057 and 22061.

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 22061

Prime factors of 22061 are 13, 1697. Prime factorization of 22061 in exponential form is:

22061 = 131 × 16971

Now multiplying the highest exponent prime factors to calculate the LCM of 22057 and 22061.

LCM(22057,22061) = 71 × 231 × 1371 × 131 × 16971
LCM(22057,22061) = 486599477