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What is the Least Common Multiple of 54986 and 54998?

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 54986 and 54998 is 1512060014.

LCM(54986,54998) = 1512060014

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Least Common Multiple of 54986 and 54998 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 54986 and 54998, than apply into the LCM equation.

GCF(54986,54998) = 2
LCM(54986,54998) = ( 54986 × 54998) / 2
LCM(54986,54998) = 3024120028 / 2
LCM(54986,54998) = 1512060014

Least Common Multiple (LCM) of 54986 and 54998 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 54986 and 54998. First we will calculate the prime factors of 54986 and 54998.

Prime Factorization of 54986

Prime factors of 54986 are 2, 19, 1447. Prime factorization of 54986 in exponential form is:

54986 = 21 × 191 × 14471

Prime Factorization of 54998

Prime factors of 54998 are 2, 107, 257. Prime factorization of 54998 in exponential form is:

54998 = 21 × 1071 × 2571

Now multiplying the highest exponent prime factors to calculate the LCM of 54986 and 54998.

LCM(54986,54998) = 21 × 191 × 14471 × 1071 × 2571
LCM(54986,54998) = 1512060014