What is the Least Common Multiple of 60397 and 60402?
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 60397 and 60402 is 3648099594.
LCM(60397,60402) = 3648099594
Least Common Multiple of 60397 and 60402 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 60397 and 60402, than apply into the LCM equation.
GCF(60397,60402) = 1
LCM(60397,60402) = ( 60397 × 60402) / 1
LCM(60397,60402) = 3648099594 / 1
LCM(60397,60402) = 3648099594
Least Common Multiple (LCM) of 60397 and 60402 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 60397 and 60402. First we will calculate the prime factors of 60397 and 60402.
Prime Factorization of 60397
Prime factors of 60397 are 60397. Prime factorization of 60397 in exponential form is:
60397 = 603971
Prime Factorization of 60402
Prime factors of 60402 are 2, 3, 10067. Prime factorization of 60402 in exponential form is:
60402 = 21 × 31 × 100671
Now multiplying the highest exponent prime factors to calculate the LCM of 60397 and 60402.
LCM(60397,60402) = 603971 × 21 × 31 × 100671
LCM(60397,60402) = 3648099594
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