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What is the Least Common Multiple of 54453 and 54465?

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 54453 and 54465 is 988594215.

LCM(54453,54465) = 988594215

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Least Common Multiple of 54453 and 54465 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 54453 and 54465, than apply into the LCM equation.

GCF(54453,54465) = 3
LCM(54453,54465) = ( 54453 × 54465) / 3
LCM(54453,54465) = 2965782645 / 3
LCM(54453,54465) = 988594215

Least Common Multiple (LCM) of 54453 and 54465 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 54453 and 54465. First we will calculate the prime factors of 54453 and 54465.

Prime Factorization of 54453

Prime factors of 54453 are 3, 7, 2593. Prime factorization of 54453 in exponential form is:

54453 = 31 × 71 × 25931

Prime Factorization of 54465

Prime factors of 54465 are 3, 5, 3631. Prime factorization of 54465 in exponential form is:

54465 = 31 × 51 × 36311

Now multiplying the highest exponent prime factors to calculate the LCM of 54453 and 54465.

LCM(54453,54465) = 31 × 71 × 25931 × 51 × 36311
LCM(54453,54465) = 988594215