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What is the Least Common Multiple of 38077 and 38087?

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 38077 and 38087 is 1450238699.

LCM(38077,38087) = 1450238699

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Least Common Multiple of 38077 and 38087 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 38077 and 38087, than apply into the LCM equation.

GCF(38077,38087) = 1
LCM(38077,38087) = ( 38077 × 38087) / 1
LCM(38077,38087) = 1450238699 / 1
LCM(38077,38087) = 1450238699

Least Common Multiple (LCM) of 38077 and 38087 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 38077 and 38087. First we will calculate the prime factors of 38077 and 38087.

Prime Factorization of 38077

Prime factors of 38077 are 13, 29, 101. Prime factorization of 38077 in exponential form is:

38077 = 131 × 291 × 1011

Prime Factorization of 38087

Prime factors of 38087 are 7, 5441. Prime factorization of 38087 in exponential form is:

38087 = 71 × 54411

Now multiplying the highest exponent prime factors to calculate the LCM of 38077 and 38087.

LCM(38077,38087) = 131 × 291 × 1011 × 71 × 54411
LCM(38077,38087) = 1450238699