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What is the Least Common Multiple of 44235 and 44255?

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 44255 is 391523985.

LCM(44235,44255) = 391523985

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Least Common Multiple of 44235 and 44255 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 44255, than apply into the LCM equation.

GCF(44235,44255) = 5
LCM(44235,44255) = ( 44235 × 44255) / 5
LCM(44235,44255) = 1957619925 / 5
LCM(44235,44255) = 391523985

Least Common Multiple (LCM) of 44235 and 44255 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 44235 and 44255. First we will calculate the prime factors of 44235 and 44255.

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 44255

Prime factors of 44255 are 5, 53, 167. Prime factorization of 44255 in exponential form is:

44255 = 51 × 531 × 1671

Now multiplying the highest exponent prime factors to calculate the LCM of 44235 and 44255.

LCM(44235,44255) = 32 × 51 × 9831 × 531 × 1671
LCM(44235,44255) = 391523985