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What is the Least Common Multiple of 60485 and 60495?

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 60485 and 60495 is 731808015.

LCM(60485,60495) = 731808015

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Least Common Multiple of 60485 and 60495 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 60485 and 60495, than apply into the LCM equation.

GCF(60485,60495) = 5
LCM(60485,60495) = ( 60485 × 60495) / 5
LCM(60485,60495) = 3659040075 / 5
LCM(60485,60495) = 731808015

Least Common Multiple (LCM) of 60485 and 60495 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 60485 and 60495. First we will calculate the prime factors of 60485 and 60495.

Prime Factorization of 60485

Prime factors of 60485 are 5, 12097. Prime factorization of 60485 in exponential form is:

60485 = 51 × 120971

Prime Factorization of 60495

Prime factors of 60495 are 3, 5, 37, 109. Prime factorization of 60495 in exponential form is:

60495 = 31 × 51 × 371 × 1091

Now multiplying the highest exponent prime factors to calculate the LCM of 60485 and 60495.

LCM(60485,60495) = 51 × 120971 × 31 × 371 × 1091
LCM(60485,60495) = 731808015