What is the Least Common Multiple of 79979 and 79998?
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 79979 and 79998 is 6398160042.
LCM(79979,79998) = 6398160042
Least Common Multiple of 79979 and 79998 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 79979 and 79998, than apply into the LCM equation.
GCF(79979,79998) = 1
LCM(79979,79998) = ( 79979 × 79998) / 1
LCM(79979,79998) = 6398160042 / 1
LCM(79979,79998) = 6398160042
Least Common Multiple (LCM) of 79979 and 79998 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 79979 and 79998. First we will calculate the prime factors of 79979 and 79998.
Prime Factorization of 79979
Prime factors of 79979 are 79979. Prime factorization of 79979 in exponential form is:
79979 = 799791
Prime Factorization of 79998
Prime factors of 79998 are 2, 3, 67, 199. Prime factorization of 79998 in exponential form is:
79998 = 21 × 31 × 671 × 1991
Now multiplying the highest exponent prime factors to calculate the LCM of 79979 and 79998.
LCM(79979,79998) = 799791 × 21 × 31 × 671 × 1991
LCM(79979,79998) = 6398160042
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