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What is the Least Common Multiple of 4968 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 4968 and 4984 is 3095064.

LCM(4968,4984) = 3095064

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Least Common Multiple of 4968 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 4968 and 4984, than apply into the LCM equation.

GCF(4968,4984) = 8
LCM(4968,4984) = ( 4968 × 4984) / 8
LCM(4968,4984) = 24760512 / 8
LCM(4968,4984) = 3095064

Least Common Multiple (LCM) of 4968 and 4984 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 4968 and 4984. First we will calculate the prime factors of 4968 and 4984.

Prime Factorization of 4968

Prime factors of 4968 are 2, 3, 23. Prime factorization of 4968 in exponential form is:

4968 = 23 × 33 × 231

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 4968 and 4984.

LCM(4968,4984) = 23 × 33 × 231 × 71 × 891
LCM(4968,4984) = 3095064