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What is the Least Common Multiple of 60466 and 60479?

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 60466 and 60479 is 3656923214.

LCM(60466,60479) = 3656923214

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Least Common Multiple of 60466 and 60479 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 60466 and 60479, than apply into the LCM equation.

GCF(60466,60479) = 1
LCM(60466,60479) = ( 60466 × 60479) / 1
LCM(60466,60479) = 3656923214 / 1
LCM(60466,60479) = 3656923214

Least Common Multiple (LCM) of 60466 and 60479 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 60466 and 60479. First we will calculate the prime factors of 60466 and 60479.

Prime Factorization of 60466

Prime factors of 60466 are 2, 7, 617. Prime factorization of 60466 in exponential form is:

60466 = 21 × 72 × 6171

Prime Factorization of 60479

Prime factors of 60479 are 197, 307. Prime factorization of 60479 in exponential form is:

60479 = 1971 × 3071

Now multiplying the highest exponent prime factors to calculate the LCM of 60466 and 60479.

LCM(60466,60479) = 21 × 72 × 6171 × 1971 × 3071
LCM(60466,60479) = 3656923214