GCF and LCM Calculator Logo

What is the Least Common Multiple of 54821 and 54837?

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 54821 and 54837 is 3006219177.

LCM(54821,54837) = 3006219177

LCM Calculator and
and

Least Common Multiple of 54821 and 54837 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 54821 and 54837, than apply into the LCM equation.

GCF(54821,54837) = 1
LCM(54821,54837) = ( 54821 × 54837) / 1
LCM(54821,54837) = 3006219177 / 1
LCM(54821,54837) = 3006219177

Least Common Multiple (LCM) of 54821 and 54837 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 54821 and 54837. First we will calculate the prime factors of 54821 and 54837.

Prime Factorization of 54821

Prime factors of 54821 are 13, 4217. Prime factorization of 54821 in exponential form is:

54821 = 131 × 42171

Prime Factorization of 54837

Prime factors of 54837 are 3, 677. Prime factorization of 54837 in exponential form is:

54837 = 34 × 6771

Now multiplying the highest exponent prime factors to calculate the LCM of 54821 and 54837.

LCM(54821,54837) = 131 × 42171 × 34 × 6771
LCM(54821,54837) = 3006219177