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What is the Least Common Multiple of 8901 and 8921?

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 8901 and 8921 is 79405821.

LCM(8901,8921) = 79405821

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Least Common Multiple of 8901 and 8921 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8901 and 8921, than apply into the LCM equation.

GCF(8901,8921) = 1
LCM(8901,8921) = ( 8901 × 8921) / 1
LCM(8901,8921) = 79405821 / 1
LCM(8901,8921) = 79405821

Least Common Multiple (LCM) of 8901 and 8921 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 8901 and 8921. First we will calculate the prime factors of 8901 and 8921.

Prime Factorization of 8901

Prime factors of 8901 are 3, 23, 43. Prime factorization of 8901 in exponential form is:

8901 = 32 × 231 × 431

Prime Factorization of 8921

Prime factors of 8921 are 11, 811. Prime factorization of 8921 in exponential form is:

8921 = 111 × 8111

Now multiplying the highest exponent prime factors to calculate the LCM of 8901 and 8921.

LCM(8901,8921) = 32 × 231 × 431 × 111 × 8111
LCM(8901,8921) = 79405821