What is the Least Common Multiple of 79841 and 79846?
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 79841 and 79846 is 6374984486.
LCM(79841,79846) = 6374984486
Least Common Multiple of 79841 and 79846 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 79841 and 79846, than apply into the LCM equation.
GCF(79841,79846) = 1
LCM(79841,79846) = ( 79841 × 79846) / 1
LCM(79841,79846) = 6374984486 / 1
LCM(79841,79846) = 6374984486
Least Common Multiple (LCM) of 79841 and 79846 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 79841 and 79846. First we will calculate the prime factors of 79841 and 79846.
Prime Factorization of 79841
Prime factors of 79841 are 79841. Prime factorization of 79841 in exponential form is:
79841 = 798411
Prime Factorization of 79846
Prime factors of 79846 are 2, 13, 37, 83. Prime factorization of 79846 in exponential form is:
79846 = 21 × 131 × 371 × 831
Now multiplying the highest exponent prime factors to calculate the LCM of 79841 and 79846.
LCM(79841,79846) = 798411 × 21 × 131 × 371 × 831
LCM(79841,79846) = 6374984486
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