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What is the Least Common Multiple of 60466 and 60486?

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 60486 is 1828673238.

LCM(60466,60486) = 1828673238

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Least Common Multiple of 60466 and 60486 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 60486, than apply into the LCM equation.

GCF(60466,60486) = 2
LCM(60466,60486) = ( 60466 × 60486) / 2
LCM(60466,60486) = 3657346476 / 2
LCM(60466,60486) = 1828673238

Least Common Multiple (LCM) of 60466 and 60486 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 60466 and 60486. First we will calculate the prime factors of 60466 and 60486.

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 60486

Prime factors of 60486 are 2, 3, 17, 593. Prime factorization of 60486 in exponential form is:

60486 = 21 × 31 × 171 × 5931

Now multiplying the highest exponent prime factors to calculate the LCM of 60466 and 60486.

LCM(60466,60486) = 21 × 72 × 6171 × 31 × 171 × 5931
LCM(60466,60486) = 1828673238