What is the Least Common Multiple of 79495 and 79515?
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 79495 and 79515 is 1264208985.
LCM(79495,79515) = 1264208985
Least Common Multiple of 79495 and 79515 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 79495 and 79515, than apply into the LCM equation.
GCF(79495,79515) = 5
LCM(79495,79515) = ( 79495 × 79515) / 5
LCM(79495,79515) = 6321044925 / 5
LCM(79495,79515) = 1264208985
Least Common Multiple (LCM) of 79495 and 79515 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 79495 and 79515. First we will calculate the prime factors of 79495 and 79515.
Prime Factorization of 79495
Prime factors of 79495 are 5, 13, 1223. Prime factorization of 79495 in exponential form is:
79495 = 51 × 131 × 12231
Prime Factorization of 79515
Prime factors of 79515 are 3, 5, 19, 31. Prime factorization of 79515 in exponential form is:
79515 = 33 × 51 × 191 × 311
Now multiplying the highest exponent prime factors to calculate the LCM of 79495 and 79515.
LCM(79495,79515) = 51 × 131 × 12231 × 33 × 191 × 311
LCM(79495,79515) = 1264208985
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