What is the Least Common Multiple of 58355 and 58362?
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 58355 and 58362 is 3405714510.
LCM(58355,58362) = 3405714510
Least Common Multiple of 58355 and 58362 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 58355 and 58362, than apply into the LCM equation.
GCF(58355,58362) = 1
LCM(58355,58362) = ( 58355 × 58362) / 1
LCM(58355,58362) = 3405714510 / 1
LCM(58355,58362) = 3405714510
Least Common Multiple (LCM) of 58355 and 58362 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 58355 and 58362. First we will calculate the prime factors of 58355 and 58362.
Prime Factorization of 58355
Prime factors of 58355 are 5, 11, 1061. Prime factorization of 58355 in exponential form is:
58355 = 51 × 111 × 10611
Prime Factorization of 58362
Prime factors of 58362 are 2, 3, 71, 137. Prime factorization of 58362 in exponential form is:
58362 = 21 × 31 × 711 × 1371
Now multiplying the highest exponent prime factors to calculate the LCM of 58355 and 58362.
LCM(58355,58362) = 51 × 111 × 10611 × 21 × 31 × 711 × 1371
LCM(58355,58362) = 3405714510
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