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What is the Least Common Multiple of 94760 and 94780?

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 94760 and 94780 is 449067640.

LCM(94760,94780) = 449067640

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Least Common Multiple of 94760 and 94780 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 94760 and 94780, than apply into the LCM equation.

GCF(94760,94780) = 20
LCM(94760,94780) = ( 94760 × 94780) / 20
LCM(94760,94780) = 8981352800 / 20
LCM(94760,94780) = 449067640

Least Common Multiple (LCM) of 94760 and 94780 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 94760 and 94780. First we will calculate the prime factors of 94760 and 94780.

Prime Factorization of 94760

Prime factors of 94760 are 2, 5, 23, 103. Prime factorization of 94760 in exponential form is:

94760 = 23 × 51 × 231 × 1031

Prime Factorization of 94780

Prime factors of 94780 are 2, 5, 7, 677. Prime factorization of 94780 in exponential form is:

94780 = 22 × 51 × 71 × 6771

Now multiplying the highest exponent prime factors to calculate the LCM of 94760 and 94780.

LCM(94760,94780) = 23 × 51 × 231 × 1031 × 71 × 6771
LCM(94760,94780) = 449067640