What is the Least Common Multiple of 79297 and 79302?
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 79297 and 79302 is 6288410694.
LCM(79297,79302) = 6288410694
Least Common Multiple of 79297 and 79302 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 79297 and 79302, than apply into the LCM equation.
GCF(79297,79302) = 1
LCM(79297,79302) = ( 79297 × 79302) / 1
LCM(79297,79302) = 6288410694 / 1
LCM(79297,79302) = 6288410694
Least Common Multiple (LCM) of 79297 and 79302 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 79297 and 79302. First we will calculate the prime factors of 79297 and 79302.
Prime Factorization of 79297
Prime factors of 79297 are 179, 443. Prime factorization of 79297 in exponential form is:
79297 = 1791 × 4431
Prime Factorization of 79302
Prime factors of 79302 are 2, 3, 13217. Prime factorization of 79302 in exponential form is:
79302 = 21 × 31 × 132171
Now multiplying the highest exponent prime factors to calculate the LCM of 79297 and 79302.
LCM(79297,79302) = 1791 × 4431 × 21 × 31 × 132171
LCM(79297,79302) = 6288410694
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