What is the Least Common Multiple of 99187 and 99207?
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 99187 and 99207 is 9840044709.
LCM(99187,99207) = 9840044709
Least Common Multiple of 99187 and 99207 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 99187 and 99207, than apply into the LCM equation.
GCF(99187,99207) = 1
LCM(99187,99207) = ( 99187 × 99207) / 1
LCM(99187,99207) = 9840044709 / 1
LCM(99187,99207) = 9840044709
Least Common Multiple (LCM) of 99187 and 99207 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 99187 and 99207. First we will calculate the prime factors of 99187 and 99207.
Prime Factorization of 99187
Prime factors of 99187 are 11, 71, 127. Prime factorization of 99187 in exponential form is:
99187 = 111 × 711 × 1271
Prime Factorization of 99207
Prime factors of 99207 are 3, 73, 151. Prime factorization of 99207 in exponential form is:
99207 = 32 × 731 × 1511
Now multiplying the highest exponent prime factors to calculate the LCM of 99187 and 99207.
LCM(99187,99207) = 111 × 711 × 1271 × 32 × 731 × 1511
LCM(99187,99207) = 9840044709
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