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What is the Least Common Multiple of 28762 and 28772?

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 28762 and 28772 is 413770132.

LCM(28762,28772) = 413770132

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Least Common Multiple of 28762 and 28772 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 28762 and 28772, than apply into the LCM equation.

GCF(28762,28772) = 2
LCM(28762,28772) = ( 28762 × 28772) / 2
LCM(28762,28772) = 827540264 / 2
LCM(28762,28772) = 413770132

Least Common Multiple (LCM) of 28762 and 28772 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 28762 and 28772. First we will calculate the prime factors of 28762 and 28772.

Prime Factorization of 28762

Prime factors of 28762 are 2, 73, 197. Prime factorization of 28762 in exponential form is:

28762 = 21 × 731 × 1971

Prime Factorization of 28772

Prime factors of 28772 are 2, 7193. Prime factorization of 28772 in exponential form is:

28772 = 22 × 71931

Now multiplying the highest exponent prime factors to calculate the LCM of 28762 and 28772.

LCM(28762,28772) = 22 × 731 × 1971 × 71931
LCM(28762,28772) = 413770132