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What is the Least Common Multiple of 28888 and 28907?

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 28888 and 28907 is 835065416.

LCM(28888,28907) = 835065416

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Least Common Multiple of 28888 and 28907 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 28888 and 28907, than apply into the LCM equation.

GCF(28888,28907) = 1
LCM(28888,28907) = ( 28888 × 28907) / 1
LCM(28888,28907) = 835065416 / 1
LCM(28888,28907) = 835065416

Least Common Multiple (LCM) of 28888 and 28907 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 28888 and 28907. First we will calculate the prime factors of 28888 and 28907.

Prime Factorization of 28888

Prime factors of 28888 are 2, 23, 157. Prime factorization of 28888 in exponential form is:

28888 = 23 × 231 × 1571

Prime Factorization of 28907

Prime factors of 28907 are 137, 211. Prime factorization of 28907 in exponential form is:

28907 = 1371 × 2111

Now multiplying the highest exponent prime factors to calculate the LCM of 28888 and 28907.

LCM(28888,28907) = 23 × 231 × 1571 × 1371 × 2111
LCM(28888,28907) = 835065416