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What is the Least Common Multiple of 67600 and 67605?

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 67600 and 67605 is 914019600.

LCM(67600,67605) = 914019600

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Least Common Multiple of 67600 and 67605 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 67600 and 67605, than apply into the LCM equation.

GCF(67600,67605) = 5
LCM(67600,67605) = ( 67600 × 67605) / 5
LCM(67600,67605) = 4570098000 / 5
LCM(67600,67605) = 914019600

Least Common Multiple (LCM) of 67600 and 67605 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 67600 and 67605. First we will calculate the prime factors of 67600 and 67605.

Prime Factorization of 67600

Prime factors of 67600 are 2, 5, 13. Prime factorization of 67600 in exponential form is:

67600 = 24 × 52 × 132

Prime Factorization of 67605

Prime factors of 67605 are 3, 5, 4507. Prime factorization of 67605 in exponential form is:

67605 = 31 × 51 × 45071

Now multiplying the highest exponent prime factors to calculate the LCM of 67600 and 67605.

LCM(67600,67605) = 24 × 52 × 132 × 31 × 45071
LCM(67600,67605) = 914019600