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What is the Least Common Multiple of 67732 and 67752?

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 67732 and 67752 is 1147244616.

LCM(67732,67752) = 1147244616

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Least Common Multiple of 67732 and 67752 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 67732 and 67752, than apply into the LCM equation.

GCF(67732,67752) = 4
LCM(67732,67752) = ( 67732 × 67752) / 4
LCM(67732,67752) = 4588978464 / 4
LCM(67732,67752) = 1147244616

Least Common Multiple (LCM) of 67732 and 67752 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 67732 and 67752. First we will calculate the prime factors of 67732 and 67752.

Prime Factorization of 67732

Prime factors of 67732 are 2, 7, 41, 59. Prime factorization of 67732 in exponential form is:

67732 = 22 × 71 × 411 × 591

Prime Factorization of 67752

Prime factors of 67752 are 2, 3, 941. Prime factorization of 67752 in exponential form is:

67752 = 23 × 32 × 9411

Now multiplying the highest exponent prime factors to calculate the LCM of 67732 and 67752.

LCM(67732,67752) = 23 × 71 × 411 × 591 × 32 × 9411
LCM(67732,67752) = 1147244616