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What is the Least Common Multiple of 2948 and 2953?

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 2948 and 2953 is 8705444.

LCM(2948,2953) = 8705444

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Least Common Multiple of 2948 and 2953 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2948 and 2953, than apply into the LCM equation.

GCF(2948,2953) = 1
LCM(2948,2953) = ( 2948 × 2953) / 1
LCM(2948,2953) = 8705444 / 1
LCM(2948,2953) = 8705444

Least Common Multiple (LCM) of 2948 and 2953 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 2948 and 2953. First we will calculate the prime factors of 2948 and 2953.

Prime Factorization of 2948

Prime factors of 2948 are 2, 11, 67. Prime factorization of 2948 in exponential form is:

2948 = 22 × 111 × 671

Prime Factorization of 2953

Prime factors of 2953 are 2953. Prime factorization of 2953 in exponential form is:

2953 = 29531

Now multiplying the highest exponent prime factors to calculate the LCM of 2948 and 2953.

LCM(2948,2953) = 22 × 111 × 671 × 29531
LCM(2948,2953) = 8705444