What is the Least Common Multiple of 3199 and 3203?
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 3199 and 3203 is 10246397.
LCM(3199,3203) = 10246397
Least Common Multiple of 3199 and 3203 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3199 and 3203, than apply into the LCM equation.
GCF(3199,3203) = 1
LCM(3199,3203) = ( 3199 × 3203) / 1
LCM(3199,3203) = 10246397 / 1
LCM(3199,3203) = 10246397
Least Common Multiple (LCM) of 3199 and 3203 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 3199 and 3203. First we will calculate the prime factors of 3199 and 3203.
Prime Factorization of 3199
Prime factors of 3199 are 7, 457. Prime factorization of 3199 in exponential form is:
3199 = 71 × 4571
Prime Factorization of 3203
Prime factors of 3203 are 3203. Prime factorization of 3203 in exponential form is:
3203 = 32031
Now multiplying the highest exponent prime factors to calculate the LCM of 3199 and 3203.
LCM(3199,3203) = 71 × 4571 × 32031
LCM(3199,3203) = 10246397
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