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What is the Least Common Multiple of 54804 and 54820?

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 54804 and 54820 is 751088820.

LCM(54804,54820) = 751088820

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Least Common Multiple of 54804 and 54820 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 54804 and 54820, than apply into the LCM equation.

GCF(54804,54820) = 4
LCM(54804,54820) = ( 54804 × 54820) / 4
LCM(54804,54820) = 3004355280 / 4
LCM(54804,54820) = 751088820

Least Common Multiple (LCM) of 54804 and 54820 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 54804 and 54820. First we will calculate the prime factors of 54804 and 54820.

Prime Factorization of 54804

Prime factors of 54804 are 2, 3, 4567. Prime factorization of 54804 in exponential form is:

54804 = 22 × 31 × 45671

Prime Factorization of 54820

Prime factors of 54820 are 2, 5, 2741. Prime factorization of 54820 in exponential form is:

54820 = 22 × 51 × 27411

Now multiplying the highest exponent prime factors to calculate the LCM of 54804 and 54820.

LCM(54804,54820) = 22 × 31 × 45671 × 51 × 27411
LCM(54804,54820) = 751088820