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What is the Least Common Multiple of 38227 and 38244?

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 38227 and 38244 is 1461953388.

LCM(38227,38244) = 1461953388

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Least Common Multiple of 38227 and 38244 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 38227 and 38244, than apply into the LCM equation.

GCF(38227,38244) = 1
LCM(38227,38244) = ( 38227 × 38244) / 1
LCM(38227,38244) = 1461953388 / 1
LCM(38227,38244) = 1461953388

Least Common Multiple (LCM) of 38227 and 38244 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 38227 and 38244. First we will calculate the prime factors of 38227 and 38244.

Prime Factorization of 38227

Prime factors of 38227 are 7, 43, 127. Prime factorization of 38227 in exponential form is:

38227 = 71 × 431 × 1271

Prime Factorization of 38244

Prime factors of 38244 are 2, 3, 3187. Prime factorization of 38244 in exponential form is:

38244 = 22 × 31 × 31871

Now multiplying the highest exponent prime factors to calculate the LCM of 38227 and 38244.

LCM(38227,38244) = 71 × 431 × 1271 × 22 × 31 × 31871
LCM(38227,38244) = 1461953388