What is the Least Common Multiple of 79603 and 79611?
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 79603 and 79611 is 6337274433.
LCM(79603,79611) = 6337274433
Least Common Multiple of 79603 and 79611 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 79603 and 79611, than apply into the LCM equation.
GCF(79603,79611) = 1
LCM(79603,79611) = ( 79603 × 79611) / 1
LCM(79603,79611) = 6337274433 / 1
LCM(79603,79611) = 6337274433
Least Common Multiple (LCM) of 79603 and 79611 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 79603 and 79611. First we will calculate the prime factors of 79603 and 79611.
Prime Factorization of 79603
Prime factors of 79603 are 23, 3461. Prime factorization of 79603 in exponential form is:
79603 = 231 × 34611
Prime Factorization of 79611
Prime factors of 79611 are 3, 7, 17, 223. Prime factorization of 79611 in exponential form is:
79611 = 31 × 71 × 171 × 2231
Now multiplying the highest exponent prime factors to calculate the LCM of 79603 and 79611.
LCM(79603,79611) = 231 × 34611 × 31 × 71 × 171 × 2231
LCM(79603,79611) = 6337274433
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