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What is the Least Common Multiple of 67655 and 67664?

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 67655 and 67664 is 4577807920.

LCM(67655,67664) = 4577807920

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Least Common Multiple of 67655 and 67664 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 67655 and 67664, than apply into the LCM equation.

GCF(67655,67664) = 1
LCM(67655,67664) = ( 67655 × 67664) / 1
LCM(67655,67664) = 4577807920 / 1
LCM(67655,67664) = 4577807920

Least Common Multiple (LCM) of 67655 and 67664 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 67655 and 67664. First we will calculate the prime factors of 67655 and 67664.

Prime Factorization of 67655

Prime factors of 67655 are 5, 7, 1933. Prime factorization of 67655 in exponential form is:

67655 = 51 × 71 × 19331

Prime Factorization of 67664

Prime factors of 67664 are 2, 4229. Prime factorization of 67664 in exponential form is:

67664 = 24 × 42291

Now multiplying the highest exponent prime factors to calculate the LCM of 67655 and 67664.

LCM(67655,67664) = 51 × 71 × 19331 × 24 × 42291
LCM(67655,67664) = 4577807920