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What is the Least Common Multiple of 10948 and 10961?

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 10948 and 10961 is 120001028.

LCM(10948,10961) = 120001028

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Least Common Multiple of 10948 and 10961 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 10948 and 10961, than apply into the LCM equation.

GCF(10948,10961) = 1
LCM(10948,10961) = ( 10948 × 10961) / 1
LCM(10948,10961) = 120001028 / 1
LCM(10948,10961) = 120001028

Least Common Multiple (LCM) of 10948 and 10961 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 10948 and 10961. First we will calculate the prime factors of 10948 and 10961.

Prime Factorization of 10948

Prime factors of 10948 are 2, 7, 17, 23. Prime factorization of 10948 in exponential form is:

10948 = 22 × 71 × 171 × 231

Prime Factorization of 10961

Prime factors of 10961 are 97, 113. Prime factorization of 10961 in exponential form is:

10961 = 971 × 1131

Now multiplying the highest exponent prime factors to calculate the LCM of 10948 and 10961.

LCM(10948,10961) = 22 × 71 × 171 × 231 × 971 × 1131
LCM(10948,10961) = 120001028