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What is the Least Common Multiple of 67945 and 67955?

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 67945 and 67955 is 923440495.

LCM(67945,67955) = 923440495

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Least Common Multiple of 67945 and 67955 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 67945 and 67955, than apply into the LCM equation.

GCF(67945,67955) = 5
LCM(67945,67955) = ( 67945 × 67955) / 5
LCM(67945,67955) = 4617202475 / 5
LCM(67945,67955) = 923440495

Least Common Multiple (LCM) of 67945 and 67955 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 67945 and 67955. First we will calculate the prime factors of 67945 and 67955.

Prime Factorization of 67945

Prime factors of 67945 are 5, 107, 127. Prime factorization of 67945 in exponential form is:

67945 = 51 × 1071 × 1271

Prime Factorization of 67955

Prime factors of 67955 are 5, 13591. Prime factorization of 67955 in exponential form is:

67955 = 51 × 135911

Now multiplying the highest exponent prime factors to calculate the LCM of 67945 and 67955.

LCM(67945,67955) = 51 × 1071 × 1271 × 135911
LCM(67945,67955) = 923440495