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What is the Least Common Multiple of 54979 and 54990?

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 54979 and 54990 is 3023295210.

LCM(54979,54990) = 3023295210

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Least Common Multiple of 54979 and 54990 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 54979 and 54990, than apply into the LCM equation.

GCF(54979,54990) = 1
LCM(54979,54990) = ( 54979 × 54990) / 1
LCM(54979,54990) = 3023295210 / 1
LCM(54979,54990) = 3023295210

Least Common Multiple (LCM) of 54979 and 54990 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 54979 and 54990. First we will calculate the prime factors of 54979 and 54990.

Prime Factorization of 54979

Prime factors of 54979 are 54979. Prime factorization of 54979 in exponential form is:

54979 = 549791

Prime Factorization of 54990

Prime factors of 54990 are 2, 3, 5, 13, 47. Prime factorization of 54990 in exponential form is:

54990 = 21 × 32 × 51 × 131 × 471

Now multiplying the highest exponent prime factors to calculate the LCM of 54979 and 54990.

LCM(54979,54990) = 549791 × 21 × 32 × 51 × 131 × 471
LCM(54979,54990) = 3023295210