What is the Least Common Multiple of 79462 and 79481?
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 79462 and 79481 is 6315719222.
LCM(79462,79481) = 6315719222
Least Common Multiple of 79462 and 79481 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 79462 and 79481, than apply into the LCM equation.
GCF(79462,79481) = 1
LCM(79462,79481) = ( 79462 × 79481) / 1
LCM(79462,79481) = 6315719222 / 1
LCM(79462,79481) = 6315719222
Least Common Multiple (LCM) of 79462 and 79481 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 79462 and 79481. First we will calculate the prime factors of 79462 and 79481.
Prime Factorization of 79462
Prime factors of 79462 are 2, 67, 593. Prime factorization of 79462 in exponential form is:
79462 = 21 × 671 × 5931
Prime Factorization of 79481
Prime factors of 79481 are 79481. Prime factorization of 79481 in exponential form is:
79481 = 794811
Now multiplying the highest exponent prime factors to calculate the LCM of 79462 and 79481.
LCM(79462,79481) = 21 × 671 × 5931 × 794811
LCM(79462,79481) = 6315719222
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