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What is the Least Common Multiple of 67939 and 67952?

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 67939 and 67952 is 4616590928.

LCM(67939,67952) = 4616590928

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Least Common Multiple of 67939 and 67952 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 67939 and 67952, than apply into the LCM equation.

GCF(67939,67952) = 1
LCM(67939,67952) = ( 67939 × 67952) / 1
LCM(67939,67952) = 4616590928 / 1
LCM(67939,67952) = 4616590928

Least Common Multiple (LCM) of 67939 and 67952 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 67939 and 67952. First we will calculate the prime factors of 67939 and 67952.

Prime Factorization of 67939

Prime factors of 67939 are 67939. Prime factorization of 67939 in exponential form is:

67939 = 679391

Prime Factorization of 67952

Prime factors of 67952 are 2, 31, 137. Prime factorization of 67952 in exponential form is:

67952 = 24 × 311 × 1371

Now multiplying the highest exponent prime factors to calculate the LCM of 67939 and 67952.

LCM(67939,67952) = 679391 × 24 × 311 × 1371
LCM(67939,67952) = 4616590928