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What is the Least Common Multiple of 4054 and 4060?

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 4054 and 4060 is 8229620.

LCM(4054,4060) = 8229620

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Least Common Multiple of 4054 and 4060 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4054 and 4060, than apply into the LCM equation.

GCF(4054,4060) = 2
LCM(4054,4060) = ( 4054 × 4060) / 2
LCM(4054,4060) = 16459240 / 2
LCM(4054,4060) = 8229620

Least Common Multiple (LCM) of 4054 and 4060 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 4054 and 4060. First we will calculate the prime factors of 4054 and 4060.

Prime Factorization of 4054

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

4054 = 21 × 20271

Prime Factorization of 4060

Prime factors of 4060 are 2, 5, 7, 29. Prime factorization of 4060 in exponential form is:

4060 = 22 × 51 × 71 × 291

Now multiplying the highest exponent prime factors to calculate the LCM of 4054 and 4060.

LCM(4054,4060) = 22 × 20271 × 51 × 71 × 291
LCM(4054,4060) = 8229620