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What is the Least Common Multiple of 54945 and 54962?

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 54962 is 3019887090.

LCM(54945,54962) = 3019887090

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Least Common Multiple of 54945 and 54962 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 54962, than apply into the LCM equation.

GCF(54945,54962) = 1
LCM(54945,54962) = ( 54945 × 54962) / 1
LCM(54945,54962) = 3019887090 / 1
LCM(54945,54962) = 3019887090

Least Common Multiple (LCM) of 54945 and 54962 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 54945 and 54962. First we will calculate the prime factors of 54945 and 54962.

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 54962

Prime factors of 54962 are 2, 27481. Prime factorization of 54962 in exponential form is:

54962 = 21 × 274811

Now multiplying the highest exponent prime factors to calculate the LCM of 54945 and 54962.

LCM(54945,54962) = 33 × 51 × 111 × 371 × 21 × 274811
LCM(54945,54962) = 3019887090