What is the Least Common Multiple of 79351 and 79355?
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 79351 and 79355 is 6296898605.
LCM(79351,79355) = 6296898605
Least Common Multiple of 79351 and 79355 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 79351 and 79355, than apply into the LCM equation.
GCF(79351,79355) = 1
LCM(79351,79355) = ( 79351 × 79355) / 1
LCM(79351,79355) = 6296898605 / 1
LCM(79351,79355) = 6296898605
Least Common Multiple (LCM) of 79351 and 79355 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 79351 and 79355. First we will calculate the prime factors of 79351 and 79355.
Prime Factorization of 79351
Prime factors of 79351 are 73, 1087. Prime factorization of 79351 in exponential form is:
79351 = 731 × 10871
Prime Factorization of 79355
Prime factors of 79355 are 5, 59, 269. Prime factorization of 79355 in exponential form is:
79355 = 51 × 591 × 2691
Now multiplying the highest exponent prime factors to calculate the LCM of 79351 and 79355.
LCM(79351,79355) = 731 × 10871 × 51 × 591 × 2691
LCM(79351,79355) = 6296898605
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