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What is the Least Common Multiple of 22042 and 22055?

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 22042 and 22055 is 486136310.

LCM(22042,22055) = 486136310

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Least Common Multiple of 22042 and 22055 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 22042 and 22055, than apply into the LCM equation.

GCF(22042,22055) = 1
LCM(22042,22055) = ( 22042 × 22055) / 1
LCM(22042,22055) = 486136310 / 1
LCM(22042,22055) = 486136310

Least Common Multiple (LCM) of 22042 and 22055 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 22042 and 22055. First we will calculate the prime factors of 22042 and 22055.

Prime Factorization of 22042

Prime factors of 22042 are 2, 103, 107. Prime factorization of 22042 in exponential form is:

22042 = 21 × 1031 × 1071

Prime Factorization of 22055

Prime factors of 22055 are 5, 11, 401. Prime factorization of 22055 in exponential form is:

22055 = 51 × 111 × 4011

Now multiplying the highest exponent prime factors to calculate the LCM of 22042 and 22055.

LCM(22042,22055) = 21 × 1031 × 1071 × 51 × 111 × 4011
LCM(22042,22055) = 486136310