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What is the Least Common Multiple of 67345 and 67350?

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 67345 and 67350 is 907137150.

LCM(67345,67350) = 907137150

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Least Common Multiple of 67345 and 67350 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 67345 and 67350, than apply into the LCM equation.

GCF(67345,67350) = 5
LCM(67345,67350) = ( 67345 × 67350) / 5
LCM(67345,67350) = 4535685750 / 5
LCM(67345,67350) = 907137150

Least Common Multiple (LCM) of 67345 and 67350 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 67345 and 67350. First we will calculate the prime factors of 67345 and 67350.

Prime Factorization of 67345

Prime factors of 67345 are 5, 13469. Prime factorization of 67345 in exponential form is:

67345 = 51 × 134691

Prime Factorization of 67350

Prime factors of 67350 are 2, 3, 5, 449. Prime factorization of 67350 in exponential form is:

67350 = 21 × 31 × 52 × 4491

Now multiplying the highest exponent prime factors to calculate the LCM of 67345 and 67350.

LCM(67345,67350) = 52 × 134691 × 21 × 31 × 4491
LCM(67345,67350) = 907137150