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What is the Least Common Multiple of 38006 and 38013?

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 38006 and 38013 is 1444722078.

LCM(38006,38013) = 1444722078

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Least Common Multiple of 38006 and 38013 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 38006 and 38013, than apply into the LCM equation.

GCF(38006,38013) = 1
LCM(38006,38013) = ( 38006 × 38013) / 1
LCM(38006,38013) = 1444722078 / 1
LCM(38006,38013) = 1444722078

Least Common Multiple (LCM) of 38006 and 38013 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 38006 and 38013. First we will calculate the prime factors of 38006 and 38013.

Prime Factorization of 38006

Prime factors of 38006 are 2, 31, 613. Prime factorization of 38006 in exponential form is:

38006 = 21 × 311 × 6131

Prime Factorization of 38013

Prime factors of 38013 are 3, 12671. Prime factorization of 38013 in exponential form is:

38013 = 31 × 126711

Now multiplying the highest exponent prime factors to calculate the LCM of 38006 and 38013.

LCM(38006,38013) = 21 × 311 × 6131 × 31 × 126711
LCM(38006,38013) = 1444722078