What is the Least Common Multiple of 59478 and 59486?
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 59478 and 59486 is 1769054154.
LCM(59478,59486) = 1769054154
Least Common Multiple of 59478 and 59486 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 59478 and 59486, than apply into the LCM equation.
GCF(59478,59486) = 2
LCM(59478,59486) = ( 59478 × 59486) / 2
LCM(59478,59486) = 3538108308 / 2
LCM(59478,59486) = 1769054154
Least Common Multiple (LCM) of 59478 and 59486 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 59478 and 59486. First we will calculate the prime factors of 59478 and 59486.
Prime Factorization of 59478
Prime factors of 59478 are 2, 3, 23, 431. Prime factorization of 59478 in exponential form is:
59478 = 21 × 31 × 231 × 4311
Prime Factorization of 59486
Prime factors of 59486 are 2, 7, 607. Prime factorization of 59486 in exponential form is:
59486 = 21 × 72 × 6071
Now multiplying the highest exponent prime factors to calculate the LCM of 59478 and 59486.
LCM(59478,59486) = 21 × 31 × 231 × 4311 × 72 × 6071
LCM(59478,59486) = 1769054154
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