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What is the Least Common Multiple of 44235 and 44242?

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 44235 and 44242 is 1957044870.

LCM(44235,44242) = 1957044870

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Least Common Multiple of 44235 and 44242 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 44235 and 44242, than apply into the LCM equation.

GCF(44235,44242) = 1
LCM(44235,44242) = ( 44235 × 44242) / 1
LCM(44235,44242) = 1957044870 / 1
LCM(44235,44242) = 1957044870

Least Common Multiple (LCM) of 44235 and 44242 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 44235 and 44242. First we will calculate the prime factors of 44235 and 44242.

Prime Factorization of 44235

Prime factors of 44235 are 3, 5, 983. Prime factorization of 44235 in exponential form is:

44235 = 32 × 51 × 9831

Prime Factorization of 44242

Prime factors of 44242 are 2, 11, 2011. Prime factorization of 44242 in exponential form is:

44242 = 21 × 111 × 20111

Now multiplying the highest exponent prime factors to calculate the LCM of 44235 and 44242.

LCM(44235,44242) = 32 × 51 × 9831 × 21 × 111 × 20111
LCM(44235,44242) = 1957044870