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What is the Least Common Multiple of 44137 and 44148?

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 44137 and 44148 is 1948560276.

LCM(44137,44148) = 1948560276

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Least Common Multiple of 44137 and 44148 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 44137 and 44148, than apply into the LCM equation.

GCF(44137,44148) = 1
LCM(44137,44148) = ( 44137 × 44148) / 1
LCM(44137,44148) = 1948560276 / 1
LCM(44137,44148) = 1948560276

Least Common Multiple (LCM) of 44137 and 44148 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 44137 and 44148. First we will calculate the prime factors of 44137 and 44148.

Prime Factorization of 44137

Prime factors of 44137 are 19, 23, 101. Prime factorization of 44137 in exponential form is:

44137 = 191 × 231 × 1011

Prime Factorization of 44148

Prime factors of 44148 are 2, 3, 13, 283. Prime factorization of 44148 in exponential form is:

44148 = 22 × 31 × 131 × 2831

Now multiplying the highest exponent prime factors to calculate the LCM of 44137 and 44148.

LCM(44137,44148) = 191 × 231 × 1011 × 22 × 31 × 131 × 2831
LCM(44137,44148) = 1948560276