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What is the Least Common Multiple of 49005 and 49025?

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 49005 and 49025 is 480494025.

LCM(49005,49025) = 480494025

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Least Common Multiple of 49005 and 49025 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 49005 and 49025, than apply into the LCM equation.

GCF(49005,49025) = 5
LCM(49005,49025) = ( 49005 × 49025) / 5
LCM(49005,49025) = 2402470125 / 5
LCM(49005,49025) = 480494025

Least Common Multiple (LCM) of 49005 and 49025 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 49005 and 49025. First we will calculate the prime factors of 49005 and 49025.

Prime Factorization of 49005

Prime factors of 49005 are 3, 5, 11. Prime factorization of 49005 in exponential form is:

49005 = 34 × 51 × 112

Prime Factorization of 49025

Prime factors of 49025 are 5, 37, 53. Prime factorization of 49025 in exponential form is:

49025 = 52 × 371 × 531

Now multiplying the highest exponent prime factors to calculate the LCM of 49005 and 49025.

LCM(49005,49025) = 34 × 52 × 112 × 371 × 531
LCM(49005,49025) = 480494025