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What is the Least Common Multiple of 68905 and 68925?

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 68905 and 68925 is 949855425.

LCM(68905,68925) = 949855425

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Least Common Multiple of 68905 and 68925 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 68905 and 68925, than apply into the LCM equation.

GCF(68905,68925) = 5
LCM(68905,68925) = ( 68905 × 68925) / 5
LCM(68905,68925) = 4749277125 / 5
LCM(68905,68925) = 949855425

Least Common Multiple (LCM) of 68905 and 68925 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 68905 and 68925. First we will calculate the prime factors of 68905 and 68925.

Prime Factorization of 68905

Prime factors of 68905 are 5, 13781. Prime factorization of 68905 in exponential form is:

68905 = 51 × 137811

Prime Factorization of 68925

Prime factors of 68925 are 3, 5, 919. Prime factorization of 68925 in exponential form is:

68925 = 31 × 52 × 9191

Now multiplying the highest exponent prime factors to calculate the LCM of 68905 and 68925.

LCM(68905,68925) = 52 × 137811 × 31 × 9191
LCM(68905,68925) = 949855425