What is the Least Common Multiple of 62903 and 62915?
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 62903 and 62915 is 3957542245.
LCM(62903,62915) = 3957542245
Least Common Multiple of 62903 and 62915 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 62903 and 62915, than apply into the LCM equation.
GCF(62903,62915) = 1
LCM(62903,62915) = ( 62903 × 62915) / 1
LCM(62903,62915) = 3957542245 / 1
LCM(62903,62915) = 3957542245
Least Common Multiple (LCM) of 62903 and 62915 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 62903 and 62915. First we will calculate the prime factors of 62903 and 62915.
Prime Factorization of 62903
Prime factors of 62903 are 62903. Prime factorization of 62903 in exponential form is:
62903 = 629031
Prime Factorization of 62915
Prime factors of 62915 are 5, 12583. Prime factorization of 62915 in exponential form is:
62915 = 51 × 125831
Now multiplying the highest exponent prime factors to calculate the LCM of 62903 and 62915.
LCM(62903,62915) = 629031 × 51 × 125831
LCM(62903,62915) = 3957542245
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