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What is the Least Common Multiple of 54940 and 54945?

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 54940 and 54945 is 603735660.

LCM(54940,54945) = 603735660

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Least Common Multiple of 54940 and 54945 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 54940 and 54945, than apply into the LCM equation.

GCF(54940,54945) = 5
LCM(54940,54945) = ( 54940 × 54945) / 5
LCM(54940,54945) = 3018678300 / 5
LCM(54940,54945) = 603735660

Least Common Multiple (LCM) of 54940 and 54945 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 54940 and 54945. First we will calculate the prime factors of 54940 and 54945.

Prime Factorization of 54940

Prime factors of 54940 are 2, 5, 41, 67. Prime factorization of 54940 in exponential form is:

54940 = 22 × 51 × 411 × 671

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

Now multiplying the highest exponent prime factors to calculate the LCM of 54940 and 54945.

LCM(54940,54945) = 22 × 51 × 411 × 671 × 33 × 111 × 371
LCM(54940,54945) = 603735660