What is the Least Common Multiple of 79195 and 79208?
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 79195 and 79208 is 6272877560.
LCM(79195,79208) = 6272877560
Least Common Multiple of 79195 and 79208 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 79195 and 79208, than apply into the LCM equation.
GCF(79195,79208) = 1
LCM(79195,79208) = ( 79195 × 79208) / 1
LCM(79195,79208) = 6272877560 / 1
LCM(79195,79208) = 6272877560
Least Common Multiple (LCM) of 79195 and 79208 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 79195 and 79208. First we will calculate the prime factors of 79195 and 79208.
Prime Factorization of 79195
Prime factors of 79195 are 5, 47, 337. Prime factorization of 79195 in exponential form is:
79195 = 51 × 471 × 3371
Prime Factorization of 79208
Prime factors of 79208 are 2, 9901. Prime factorization of 79208 in exponential form is:
79208 = 23 × 99011
Now multiplying the highest exponent prime factors to calculate the LCM of 79195 and 79208.
LCM(79195,79208) = 51 × 471 × 3371 × 23 × 99011
LCM(79195,79208) = 6272877560
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