What is the Least Common Multiple of 99106 and 99120?
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 99106 and 99120 is 701670480.
LCM(99106,99120) = 701670480
Least Common Multiple of 99106 and 99120 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 99106 and 99120, than apply into the LCM equation.
GCF(99106,99120) = 14
LCM(99106,99120) = ( 99106 × 99120) / 14
LCM(99106,99120) = 9823386720 / 14
LCM(99106,99120) = 701670480
Least Common Multiple (LCM) of 99106 and 99120 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 99106 and 99120. First we will calculate the prime factors of 99106 and 99120.
Prime Factorization of 99106
Prime factors of 99106 are 2, 7, 7079. Prime factorization of 99106 in exponential form is:
99106 = 21 × 71 × 70791
Prime Factorization of 99120
Prime factors of 99120 are 2, 3, 5, 7, 59. Prime factorization of 99120 in exponential form is:
99120 = 24 × 31 × 51 × 71 × 591
Now multiplying the highest exponent prime factors to calculate the LCM of 99106 and 99120.
LCM(99106,99120) = 24 × 71 × 70791 × 31 × 51 × 591
LCM(99106,99120) = 701670480
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