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What is the Least Common Multiple of 4978 and 4984?

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 4978 and 4984 is 12405176.

LCM(4978,4984) = 12405176

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Least Common Multiple of 4978 and 4984 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4978 and 4984, than apply into the LCM equation.

GCF(4978,4984) = 2
LCM(4978,4984) = ( 4978 × 4984) / 2
LCM(4978,4984) = 24810352 / 2
LCM(4978,4984) = 12405176

Least Common Multiple (LCM) of 4978 and 4984 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 4978 and 4984. First we will calculate the prime factors of 4978 and 4984.

Prime Factorization of 4978

Prime factors of 4978 are 2, 19, 131. Prime factorization of 4978 in exponential form is:

4978 = 21 × 191 × 1311

Prime Factorization of 4984

Prime factors of 4984 are 2, 7, 89. Prime factorization of 4984 in exponential form is:

4984 = 23 × 71 × 891

Now multiplying the highest exponent prime factors to calculate the LCM of 4978 and 4984.

LCM(4978,4984) = 23 × 191 × 1311 × 71 × 891
LCM(4978,4984) = 12405176