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What is the Least Common Multiple of 67752 and 67763?

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 67752 and 67763 is 4591078776.

LCM(67752,67763) = 4591078776

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Least Common Multiple of 67752 and 67763 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 67752 and 67763, than apply into the LCM equation.

GCF(67752,67763) = 1
LCM(67752,67763) = ( 67752 × 67763) / 1
LCM(67752,67763) = 4591078776 / 1
LCM(67752,67763) = 4591078776

Least Common Multiple (LCM) of 67752 and 67763 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 67752 and 67763. First we will calculate the prime factors of 67752 and 67763.

Prime Factorization of 67752

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

67752 = 23 × 32 × 9411

Prime Factorization of 67763

Prime factors of 67763 are 67763. Prime factorization of 67763 in exponential form is:

67763 = 677631

Now multiplying the highest exponent prime factors to calculate the LCM of 67752 and 67763.

LCM(67752,67763) = 23 × 32 × 9411 × 677631
LCM(67752,67763) = 4591078776