What is the Least Common Multiple of 8762 and 8781?
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 8762 and 8781 is 76939122.
LCM(8762,8781) = 76939122
Least Common Multiple of 8762 and 8781 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8762 and 8781, than apply into the LCM equation.
GCF(8762,8781) = 1
LCM(8762,8781) = ( 8762 × 8781) / 1
LCM(8762,8781) = 76939122 / 1
LCM(8762,8781) = 76939122
Least Common Multiple (LCM) of 8762 and 8781 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 8762 and 8781. First we will calculate the prime factors of 8762 and 8781.
Prime Factorization of 8762
Prime factors of 8762 are 2, 13, 337. Prime factorization of 8762 in exponential form is:
8762 = 21 × 131 × 3371
Prime Factorization of 8781
Prime factors of 8781 are 3, 2927. Prime factorization of 8781 in exponential form is:
8781 = 31 × 29271
Now multiplying the highest exponent prime factors to calculate the LCM of 8762 and 8781.
LCM(8762,8781) = 21 × 131 × 3371 × 31 × 29271
LCM(8762,8781) = 76939122
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