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What is the Least Common Multiple of 54937 and 54954?

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 54937 and 54954 is 3019007898.

LCM(54937,54954) = 3019007898

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Least Common Multiple of 54937 and 54954 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 54937 and 54954, than apply into the LCM equation.

GCF(54937,54954) = 1
LCM(54937,54954) = ( 54937 × 54954) / 1
LCM(54937,54954) = 3019007898 / 1
LCM(54937,54954) = 3019007898

Least Common Multiple (LCM) of 54937 and 54954 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 54937 and 54954. First we will calculate the prime factors of 54937 and 54954.

Prime Factorization of 54937

Prime factors of 54937 are 137, 401. Prime factorization of 54937 in exponential form is:

54937 = 1371 × 4011

Prime Factorization of 54954

Prime factors of 54954 are 2, 3, 43, 71. Prime factorization of 54954 in exponential form is:

54954 = 21 × 32 × 431 × 711

Now multiplying the highest exponent prime factors to calculate the LCM of 54937 and 54954.

LCM(54937,54954) = 1371 × 4011 × 21 × 32 × 431 × 711
LCM(54937,54954) = 3019007898