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What is the Least Common Multiple of 54377 and 54396?

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 54377 and 54396 is 2957891292.

LCM(54377,54396) = 2957891292

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Least Common Multiple of 54377 and 54396 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 54377 and 54396, than apply into the LCM equation.

GCF(54377,54396) = 1
LCM(54377,54396) = ( 54377 × 54396) / 1
LCM(54377,54396) = 2957891292 / 1
LCM(54377,54396) = 2957891292

Least Common Multiple (LCM) of 54377 and 54396 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 54377 and 54396. First we will calculate the prime factors of 54377 and 54396.

Prime Factorization of 54377

Prime factors of 54377 are 54377. Prime factorization of 54377 in exponential form is:

54377 = 543771

Prime Factorization of 54396

Prime factors of 54396 are 2, 3, 1511. Prime factorization of 54396 in exponential form is:

54396 = 22 × 32 × 15111

Now multiplying the highest exponent prime factors to calculate the LCM of 54377 and 54396.

LCM(54377,54396) = 543771 × 22 × 32 × 15111
LCM(54377,54396) = 2957891292