What is the Least Common Multiple of 58761 and 58775?
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 58761 and 58775 is 3453677775.
LCM(58761,58775) = 3453677775
Least Common Multiple of 58761 and 58775 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 58761 and 58775, than apply into the LCM equation.
GCF(58761,58775) = 1
LCM(58761,58775) = ( 58761 × 58775) / 1
LCM(58761,58775) = 3453677775 / 1
LCM(58761,58775) = 3453677775
Least Common Multiple (LCM) of 58761 and 58775 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 58761 and 58775. First we will calculate the prime factors of 58761 and 58775.
Prime Factorization of 58761
Prime factors of 58761 are 3, 6529. Prime factorization of 58761 in exponential form is:
58761 = 32 × 65291
Prime Factorization of 58775
Prime factors of 58775 are 5, 2351. Prime factorization of 58775 in exponential form is:
58775 = 52 × 23511
Now multiplying the highest exponent prime factors to calculate the LCM of 58761 and 58775.
LCM(58761,58775) = 32 × 65291 × 52 × 23511
LCM(58761,58775) = 3453677775
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Related Least Common Multiples of 58775
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