What is the Least Common Multiple of 99673 and 99693?
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 99673 and 99693 is 9936700389.
LCM(99673,99693) = 9936700389
Least Common Multiple of 99673 and 99693 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 99673 and 99693, than apply into the LCM equation.
GCF(99673,99693) = 1
LCM(99673,99693) = ( 99673 × 99693) / 1
LCM(99673,99693) = 9936700389 / 1
LCM(99673,99693) = 9936700389
Least Common Multiple (LCM) of 99673 and 99693 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 99673 and 99693. First we will calculate the prime factors of 99673 and 99693.
Prime Factorization of 99673
Prime factors of 99673 are 7, 29, 491. Prime factorization of 99673 in exponential form is:
99673 = 71 × 291 × 4911
Prime Factorization of 99693
Prime factors of 99693 are 3, 11, 19, 53. Prime factorization of 99693 in exponential form is:
99693 = 32 × 111 × 191 × 531
Now multiplying the highest exponent prime factors to calculate the LCM of 99673 and 99693.
LCM(99673,99693) = 71 × 291 × 4911 × 32 × 111 × 191 × 531
LCM(99673,99693) = 9936700389
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