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What is the Least Common Multiple of 49466 and 49470?

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 49466 and 49470 is 1223541510.

LCM(49466,49470) = 1223541510

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Least Common Multiple of 49466 and 49470 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 49466 and 49470, than apply into the LCM equation.

GCF(49466,49470) = 2
LCM(49466,49470) = ( 49466 × 49470) / 2
LCM(49466,49470) = 2447083020 / 2
LCM(49466,49470) = 1223541510

Least Common Multiple (LCM) of 49466 and 49470 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 49466 and 49470. First we will calculate the prime factors of 49466 and 49470.

Prime Factorization of 49466

Prime factors of 49466 are 2, 24733. Prime factorization of 49466 in exponential form is:

49466 = 21 × 247331

Prime Factorization of 49470

Prime factors of 49470 are 2, 3, 5, 17, 97. Prime factorization of 49470 in exponential form is:

49470 = 21 × 31 × 51 × 171 × 971

Now multiplying the highest exponent prime factors to calculate the LCM of 49466 and 49470.

LCM(49466,49470) = 21 × 247331 × 31 × 51 × 171 × 971
LCM(49466,49470) = 1223541510