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What is the Least Common Multiple of 44201 and 44218?

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 44201 and 44218 is 1954479818.

LCM(44201,44218) = 1954479818

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Least Common Multiple of 44201 and 44218 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 44201 and 44218, than apply into the LCM equation.

GCF(44201,44218) = 1
LCM(44201,44218) = ( 44201 × 44218) / 1
LCM(44201,44218) = 1954479818 / 1
LCM(44201,44218) = 1954479818

Least Common Multiple (LCM) of 44201 and 44218 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 44201 and 44218. First we will calculate the prime factors of 44201 and 44218.

Prime Factorization of 44201

Prime factors of 44201 are 44201. Prime factorization of 44201 in exponential form is:

44201 = 442011

Prime Factorization of 44218

Prime factors of 44218 are 2, 22109. Prime factorization of 44218 in exponential form is:

44218 = 21 × 221091

Now multiplying the highest exponent prime factors to calculate the LCM of 44201 and 44218.

LCM(44201,44218) = 442011 × 21 × 221091
LCM(44201,44218) = 1954479818