What is the Least Common Multiple of 66747 and 66767?
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 66747 and 66767 is 4456496949.
LCM(66747,66767) = 4456496949
Least Common Multiple of 66747 and 66767 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 66747 and 66767, than apply into the LCM equation.
GCF(66747,66767) = 1
LCM(66747,66767) = ( 66747 × 66767) / 1
LCM(66747,66767) = 4456496949 / 1
LCM(66747,66767) = 4456496949
Least Common Multiple (LCM) of 66747 and 66767 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 66747 and 66767. First we will calculate the prime factors of 66747 and 66767.
Prime Factorization of 66747
Prime factors of 66747 are 3, 19, 1171. Prime factorization of 66747 in exponential form is:
66747 = 31 × 191 × 11711
Prime Factorization of 66767
Prime factors of 66767 are 179, 373. Prime factorization of 66767 in exponential form is:
66767 = 1791 × 3731
Now multiplying the highest exponent prime factors to calculate the LCM of 66747 and 66767.
LCM(66747,66767) = 31 × 191 × 11711 × 1791 × 3731
LCM(66747,66767) = 4456496949
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