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What is the Least Common Multiple of 38026 and 38038?

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 38026 and 38038 is 723216494.

LCM(38026,38038) = 723216494

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Least Common Multiple of 38026 and 38038 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 38026 and 38038, than apply into the LCM equation.

GCF(38026,38038) = 2
LCM(38026,38038) = ( 38026 × 38038) / 2
LCM(38026,38038) = 1446432988 / 2
LCM(38026,38038) = 723216494

Least Common Multiple (LCM) of 38026 and 38038 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 38026 and 38038. First we will calculate the prime factors of 38026 and 38038.

Prime Factorization of 38026

Prime factors of 38026 are 2, 19013. Prime factorization of 38026 in exponential form is:

38026 = 21 × 190131

Prime Factorization of 38038

Prime factors of 38038 are 2, 7, 11, 13, 19. Prime factorization of 38038 in exponential form is:

38038 = 21 × 71 × 111 × 131 × 191

Now multiplying the highest exponent prime factors to calculate the LCM of 38026 and 38038.

LCM(38026,38038) = 21 × 190131 × 71 × 111 × 131 × 191
LCM(38026,38038) = 723216494