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What is the Least Common Multiple of 54945 and 54965?

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 54945 and 54965 is 604010385.

LCM(54945,54965) = 604010385

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Least Common Multiple of 54945 and 54965 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 54945 and 54965, than apply into the LCM equation.

GCF(54945,54965) = 5
LCM(54945,54965) = ( 54945 × 54965) / 5
LCM(54945,54965) = 3020051925 / 5
LCM(54945,54965) = 604010385

Least Common Multiple (LCM) of 54945 and 54965 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 54945 and 54965. First we will calculate the prime factors of 54945 and 54965.

Prime Factorization of 54945

Prime factors of 54945 are 3, 5, 11, 37. Prime factorization of 54945 in exponential form is:

54945 = 33 × 51 × 111 × 371

Prime Factorization of 54965

Prime factors of 54965 are 5, 10993. Prime factorization of 54965 in exponential form is:

54965 = 51 × 109931

Now multiplying the highest exponent prime factors to calculate the LCM of 54945 and 54965.

LCM(54945,54965) = 33 × 51 × 111 × 371 × 109931
LCM(54945,54965) = 604010385