What is the Least Common Multiple of 8749 and 8767?
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 8749 and 8767 is 76702483.
LCM(8749,8767) = 76702483
Least Common Multiple of 8749 and 8767 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8749 and 8767, than apply into the LCM equation.
GCF(8749,8767) = 1
LCM(8749,8767) = ( 8749 × 8767) / 1
LCM(8749,8767) = 76702483 / 1
LCM(8749,8767) = 76702483
Least Common Multiple (LCM) of 8749 and 8767 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 8749 and 8767. First we will calculate the prime factors of 8749 and 8767.
Prime Factorization of 8749
Prime factors of 8749 are 13, 673. Prime factorization of 8749 in exponential form is:
8749 = 131 × 6731
Prime Factorization of 8767
Prime factors of 8767 are 11, 797. Prime factorization of 8767 in exponential form is:
8767 = 111 × 7971
Now multiplying the highest exponent prime factors to calculate the LCM of 8749 and 8767.
LCM(8749,8767) = 131 × 6731 × 111 × 7971
LCM(8749,8767) = 76702483
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