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What is the Least Common Multiple of 67672 and 67676?

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 67672 and 67676 is 1144942568.

LCM(67672,67676) = 1144942568

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Least Common Multiple of 67672 and 67676 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 67672 and 67676, than apply into the LCM equation.

GCF(67672,67676) = 4
LCM(67672,67676) = ( 67672 × 67676) / 4
LCM(67672,67676) = 4579770272 / 4
LCM(67672,67676) = 1144942568

Least Common Multiple (LCM) of 67672 and 67676 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 67672 and 67676. First we will calculate the prime factors of 67672 and 67676.

Prime Factorization of 67672

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

67672 = 23 × 111 × 7691

Prime Factorization of 67676

Prime factors of 67676 are 2, 7, 2417. Prime factorization of 67676 in exponential form is:

67676 = 22 × 71 × 24171

Now multiplying the highest exponent prime factors to calculate the LCM of 67672 and 67676.

LCM(67672,67676) = 23 × 111 × 7691 × 71 × 24171
LCM(67672,67676) = 1144942568