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What is the Least Common Multiple of 67945 and 67961?

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 67961 is 4617610145.

LCM(67945,67961) = 4617610145

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Least Common Multiple of 67945 and 67961 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 67961, than apply into the LCM equation.

GCF(67945,67961) = 1
LCM(67945,67961) = ( 67945 × 67961) / 1
LCM(67945,67961) = 4617610145 / 1
LCM(67945,67961) = 4617610145

Least Common Multiple (LCM) of 67945 and 67961 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 67945 and 67961. First we will calculate the prime factors of 67945 and 67961.

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 67961

Prime factors of 67961 are 67961. Prime factorization of 67961 in exponential form is:

67961 = 679611

Now multiplying the highest exponent prime factors to calculate the LCM of 67945 and 67961.

LCM(67945,67961) = 51 × 1071 × 1271 × 679611
LCM(67945,67961) = 4617610145