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What is the Least Common Multiple of 4476 and 4495?

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 4476 and 4495 is 20119620.

LCM(4476,4495) = 20119620

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Least Common Multiple of 4476 and 4495 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4476 and 4495, than apply into the LCM equation.

GCF(4476,4495) = 1
LCM(4476,4495) = ( 4476 × 4495) / 1
LCM(4476,4495) = 20119620 / 1
LCM(4476,4495) = 20119620

Least Common Multiple (LCM) of 4476 and 4495 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 4476 and 4495. First we will calculate the prime factors of 4476 and 4495.

Prime Factorization of 4476

Prime factors of 4476 are 2, 3, 373. Prime factorization of 4476 in exponential form is:

4476 = 22 × 31 × 3731

Prime Factorization of 4495

Prime factors of 4495 are 5, 29, 31. Prime factorization of 4495 in exponential form is:

4495 = 51 × 291 × 311

Now multiplying the highest exponent prime factors to calculate the LCM of 4476 and 4495.

LCM(4476,4495) = 22 × 31 × 3731 × 51 × 291 × 311
LCM(4476,4495) = 20119620