What is the Least Common Multiple of 58424 and 58435?
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 58424 and 58435 is 3414006440.
LCM(58424,58435) = 3414006440
Least Common Multiple of 58424 and 58435 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 58424 and 58435, than apply into the LCM equation.
GCF(58424,58435) = 1
LCM(58424,58435) = ( 58424 × 58435) / 1
LCM(58424,58435) = 3414006440 / 1
LCM(58424,58435) = 3414006440
Least Common Multiple (LCM) of 58424 and 58435 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 58424 and 58435. First we will calculate the prime factors of 58424 and 58435.
Prime Factorization of 58424
Prime factors of 58424 are 2, 67, 109. Prime factorization of 58424 in exponential form is:
58424 = 23 × 671 × 1091
Prime Factorization of 58435
Prime factors of 58435 are 5, 13, 29, 31. Prime factorization of 58435 in exponential form is:
58435 = 51 × 131 × 291 × 311
Now multiplying the highest exponent prime factors to calculate the LCM of 58424 and 58435.
LCM(58424,58435) = 23 × 671 × 1091 × 51 × 131 × 291 × 311
LCM(58424,58435) = 3414006440
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