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What is the Least Common Multiple of 67665 and 67672?

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 67665 and 67672 is 4579025880.

LCM(67665,67672) = 4579025880

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Least Common Multiple of 67665 and 67672 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 67665 and 67672, than apply into the LCM equation.

GCF(67665,67672) = 1
LCM(67665,67672) = ( 67665 × 67672) / 1
LCM(67665,67672) = 4579025880 / 1
LCM(67665,67672) = 4579025880

Least Common Multiple (LCM) of 67665 and 67672 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 67665 and 67672. First we will calculate the prime factors of 67665 and 67672.

Prime Factorization of 67665

Prime factors of 67665 are 3, 5, 13, 347. Prime factorization of 67665 in exponential form is:

67665 = 31 × 51 × 131 × 3471

Prime Factorization of 67672

Prime factors of 67672 are 2, 11, 769. Prime factorization of 67672 in exponential form is:

67672 = 23 × 111 × 7691

Now multiplying the highest exponent prime factors to calculate the LCM of 67665 and 67672.

LCM(67665,67672) = 31 × 51 × 131 × 3471 × 23 × 111 × 7691
LCM(67665,67672) = 4579025880