What is the Least Common Multiple of 58774 and 58792?
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 58774 and 58792 is 1727720504.
LCM(58774,58792) = 1727720504
Least Common Multiple of 58774 and 58792 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 58774 and 58792, than apply into the LCM equation.
GCF(58774,58792) = 2
LCM(58774,58792) = ( 58774 × 58792) / 2
LCM(58774,58792) = 3455441008 / 2
LCM(58774,58792) = 1727720504
Least Common Multiple (LCM) of 58774 and 58792 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 58774 and 58792. First we will calculate the prime factors of 58774 and 58792.
Prime Factorization of 58774
Prime factors of 58774 are 2, 29387. Prime factorization of 58774 in exponential form is:
58774 = 21 × 293871
Prime Factorization of 58792
Prime factors of 58792 are 2, 7349. Prime factorization of 58792 in exponential form is:
58792 = 23 × 73491
Now multiplying the highest exponent prime factors to calculate the LCM of 58774 and 58792.
LCM(58774,58792) = 23 × 293871 × 73491
LCM(58774,58792) = 1727720504
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