What is the Least Common Multiple of 62915 and 62926?
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 62915 and 62926 is 3958989290.
LCM(62915,62926) = 3958989290
Least Common Multiple of 62915 and 62926 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 62915 and 62926, than apply into the LCM equation.
GCF(62915,62926) = 1
LCM(62915,62926) = ( 62915 × 62926) / 1
LCM(62915,62926) = 3958989290 / 1
LCM(62915,62926) = 3958989290
Least Common Multiple (LCM) of 62915 and 62926 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 62915 and 62926. First we will calculate the prime factors of 62915 and 62926.
Prime Factorization of 62915
Prime factors of 62915 are 5, 12583. Prime factorization of 62915 in exponential form is:
62915 = 51 × 125831
Prime Factorization of 62926
Prime factors of 62926 are 2, 73, 431. Prime factorization of 62926 in exponential form is:
62926 = 21 × 731 × 4311
Now multiplying the highest exponent prime factors to calculate the LCM of 62915 and 62926.
LCM(62915,62926) = 51 × 125831 × 21 × 731 × 4311
LCM(62915,62926) = 3958989290
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