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What is the Least Common Multiple of 67764 and 67772?

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 67764 and 67772 is 1148125452.

LCM(67764,67772) = 1148125452

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Least Common Multiple of 67764 and 67772 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 67764 and 67772, than apply into the LCM equation.

GCF(67764,67772) = 4
LCM(67764,67772) = ( 67764 × 67772) / 4
LCM(67764,67772) = 4592501808 / 4
LCM(67764,67772) = 1148125452

Least Common Multiple (LCM) of 67764 and 67772 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 67764 and 67772. First we will calculate the prime factors of 67764 and 67772.

Prime Factorization of 67764

Prime factors of 67764 are 2, 3, 5647. Prime factorization of 67764 in exponential form is:

67764 = 22 × 31 × 56471

Prime Factorization of 67772

Prime factors of 67772 are 2, 16943. Prime factorization of 67772 in exponential form is:

67772 = 22 × 169431

Now multiplying the highest exponent prime factors to calculate the LCM of 67764 and 67772.

LCM(67764,67772) = 22 × 31 × 56471 × 169431
LCM(67764,67772) = 1148125452