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What is the Least Common Multiple of 4048 and 4054?

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 4048 and 4054 is 8205296.

LCM(4048,4054) = 8205296

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Least Common Multiple of 4048 and 4054 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4048 and 4054, than apply into the LCM equation.

GCF(4048,4054) = 2
LCM(4048,4054) = ( 4048 × 4054) / 2
LCM(4048,4054) = 16410592 / 2
LCM(4048,4054) = 8205296

Least Common Multiple (LCM) of 4048 and 4054 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 4048 and 4054. First we will calculate the prime factors of 4048 and 4054.

Prime Factorization of 4048

Prime factors of 4048 are 2, 11, 23. Prime factorization of 4048 in exponential form is:

4048 = 24 × 111 × 231

Prime Factorization of 4054

Prime factors of 4054 are 2, 2027. Prime factorization of 4054 in exponential form is:

4054 = 21 × 20271

Now multiplying the highest exponent prime factors to calculate the LCM of 4048 and 4054.

LCM(4048,4054) = 24 × 111 × 231 × 20271
LCM(4048,4054) = 8205296