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What is the Least Common Multiple of 8961 and 8978?

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 8961 and 8978 is 80451858.

LCM(8961,8978) = 80451858

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Least Common Multiple of 8961 and 8978 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8961 and 8978, than apply into the LCM equation.

GCF(8961,8978) = 1
LCM(8961,8978) = ( 8961 × 8978) / 1
LCM(8961,8978) = 80451858 / 1
LCM(8961,8978) = 80451858

Least Common Multiple (LCM) of 8961 and 8978 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 8961 and 8978. First we will calculate the prime factors of 8961 and 8978.

Prime Factorization of 8961

Prime factors of 8961 are 3, 29, 103. Prime factorization of 8961 in exponential form is:

8961 = 31 × 291 × 1031

Prime Factorization of 8978

Prime factors of 8978 are 2, 67. Prime factorization of 8978 in exponential form is:

8978 = 21 × 672

Now multiplying the highest exponent prime factors to calculate the LCM of 8961 and 8978.

LCM(8961,8978) = 31 × 291 × 1031 × 21 × 672
LCM(8961,8978) = 80451858