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What is the Least Common Multiple of 22062 and 22078?

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 22062 and 22078 is 243542418.

LCM(22062,22078) = 243542418

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Least Common Multiple of 22062 and 22078 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 22062 and 22078, than apply into the LCM equation.

GCF(22062,22078) = 2
LCM(22062,22078) = ( 22062 × 22078) / 2
LCM(22062,22078) = 487084836 / 2
LCM(22062,22078) = 243542418

Least Common Multiple (LCM) of 22062 and 22078 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 22062 and 22078. First we will calculate the prime factors of 22062 and 22078.

Prime Factorization of 22062

Prime factors of 22062 are 2, 3, 3677. Prime factorization of 22062 in exponential form is:

22062 = 21 × 31 × 36771

Prime Factorization of 22078

Prime factors of 22078 are 2, 7, 19, 83. Prime factorization of 22078 in exponential form is:

22078 = 21 × 71 × 191 × 831

Now multiplying the highest exponent prime factors to calculate the LCM of 22062 and 22078.

LCM(22062,22078) = 21 × 31 × 36771 × 71 × 191 × 831
LCM(22062,22078) = 243542418