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What is the Least Common Multiple of 4960 and 4968?

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 4960 and 4968 is 3080160.

LCM(4960,4968) = 3080160

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Least Common Multiple of 4960 and 4968 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4960 and 4968, than apply into the LCM equation.

GCF(4960,4968) = 8
LCM(4960,4968) = ( 4960 × 4968) / 8
LCM(4960,4968) = 24641280 / 8
LCM(4960,4968) = 3080160

Least Common Multiple (LCM) of 4960 and 4968 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 4960 and 4968. First we will calculate the prime factors of 4960 and 4968.

Prime Factorization of 4960

Prime factors of 4960 are 2, 5, 31. Prime factorization of 4960 in exponential form is:

4960 = 25 × 51 × 311

Prime Factorization of 4968

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

4968 = 23 × 33 × 231

Now multiplying the highest exponent prime factors to calculate the LCM of 4960 and 4968.

LCM(4960,4968) = 25 × 51 × 311 × 33 × 231
LCM(4960,4968) = 3080160