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What is the Least Common Multiple of 67937 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 67937 and 67952 is 4616455024.

LCM(67937,67952) = 4616455024

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Least Common Multiple of 67937 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 67937 and 67952, than apply into the LCM equation.

GCF(67937,67952) = 1
LCM(67937,67952) = ( 67937 × 67952) / 1
LCM(67937,67952) = 4616455024 / 1
LCM(67937,67952) = 4616455024

Least Common Multiple (LCM) of 67937 and 67952 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 67937 and 67952. First we will calculate the prime factors of 67937 and 67952.

Prime Factorization of 67937

Prime factors of 67937 are 41, 1657. Prime factorization of 67937 in exponential form is:

67937 = 411 × 16571

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 67937 and 67952.

LCM(67937,67952) = 411 × 16571 × 24 × 311 × 1371
LCM(67937,67952) = 4616455024