What is the Least Common Multiple of 58984 and 58998?
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 58984 and 58998 is 1739969016.
LCM(58984,58998) = 1739969016
Least Common Multiple of 58984 and 58998 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 58984 and 58998, than apply into the LCM equation.
GCF(58984,58998) = 2
LCM(58984,58998) = ( 58984 × 58998) / 2
LCM(58984,58998) = 3479938032 / 2
LCM(58984,58998) = 1739969016
Least Common Multiple (LCM) of 58984 and 58998 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 58984 and 58998. First we will calculate the prime factors of 58984 and 58998.
Prime Factorization of 58984
Prime factors of 58984 are 2, 73, 101. Prime factorization of 58984 in exponential form is:
58984 = 23 × 731 × 1011
Prime Factorization of 58998
Prime factors of 58998 are 2, 3, 9833. Prime factorization of 58998 in exponential form is:
58998 = 21 × 31 × 98331
Now multiplying the highest exponent prime factors to calculate the LCM of 58984 and 58998.
LCM(58984,58998) = 23 × 731 × 1011 × 31 × 98331
LCM(58984,58998) = 1739969016
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