What is the Least Common Multiple of 58410 and 58421?
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 58410 and 58421 is 310215510.
LCM(58410,58421) = 310215510
Least Common Multiple of 58410 and 58421 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 58410 and 58421, than apply into the LCM equation.
GCF(58410,58421) = 11
LCM(58410,58421) = ( 58410 × 58421) / 11
LCM(58410,58421) = 3412370610 / 11
LCM(58410,58421) = 310215510
Least Common Multiple (LCM) of 58410 and 58421 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 58410 and 58421. First we will calculate the prime factors of 58410 and 58421.
Prime Factorization of 58410
Prime factors of 58410 are 2, 3, 5, 11, 59. Prime factorization of 58410 in exponential form is:
58410 = 21 × 32 × 51 × 111 × 591
Prime Factorization of 58421
Prime factors of 58421 are 11, 47, 113. Prime factorization of 58421 in exponential form is:
58421 = 111 × 471 × 1131
Now multiplying the highest exponent prime factors to calculate the LCM of 58410 and 58421.
LCM(58410,58421) = 21 × 32 × 51 × 111 × 591 × 471 × 1131
LCM(58410,58421) = 310215510
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