What is the Least Common Multiple of 62150 and 62169?
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 62150 and 62169 is 3863803350.
LCM(62150,62169) = 3863803350
Least Common Multiple of 62150 and 62169 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 62150 and 62169, than apply into the LCM equation.
GCF(62150,62169) = 1
LCM(62150,62169) = ( 62150 × 62169) / 1
LCM(62150,62169) = 3863803350 / 1
LCM(62150,62169) = 3863803350
Least Common Multiple (LCM) of 62150 and 62169 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 62150 and 62169. First we will calculate the prime factors of 62150 and 62169.
Prime Factorization of 62150
Prime factors of 62150 are 2, 5, 11, 113. Prime factorization of 62150 in exponential form is:
62150 = 21 × 52 × 111 × 1131
Prime Factorization of 62169
Prime factors of 62169 are 3, 17, 23, 53. Prime factorization of 62169 in exponential form is:
62169 = 31 × 171 × 231 × 531
Now multiplying the highest exponent prime factors to calculate the LCM of 62150 and 62169.
LCM(62150,62169) = 21 × 52 × 111 × 1131 × 31 × 171 × 231 × 531
LCM(62150,62169) = 3863803350
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