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What is the Least Common Multiple of 94435 and 94440?

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 94435 and 94440 is 1783688280.

LCM(94435,94440) = 1783688280

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Least Common Multiple of 94435 and 94440 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 94435 and 94440, than apply into the LCM equation.

GCF(94435,94440) = 5
LCM(94435,94440) = ( 94435 × 94440) / 5
LCM(94435,94440) = 8918441400 / 5
LCM(94435,94440) = 1783688280

Least Common Multiple (LCM) of 94435 and 94440 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 94435 and 94440. First we will calculate the prime factors of 94435 and 94440.

Prime Factorization of 94435

Prime factors of 94435 are 5, 11, 17, 101. Prime factorization of 94435 in exponential form is:

94435 = 51 × 111 × 171 × 1011

Prime Factorization of 94440

Prime factors of 94440 are 2, 3, 5, 787. Prime factorization of 94440 in exponential form is:

94440 = 23 × 31 × 51 × 7871

Now multiplying the highest exponent prime factors to calculate the LCM of 94435 and 94440.

LCM(94435,94440) = 51 × 111 × 171 × 1011 × 23 × 31 × 7871
LCM(94435,94440) = 1783688280