What is the Least Common Multiple of 62799 and 62815?
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 62799 and 62815 is 3944719185.
LCM(62799,62815) = 3944719185
Least Common Multiple of 62799 and 62815 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 62799 and 62815, than apply into the LCM equation.
GCF(62799,62815) = 1
LCM(62799,62815) = ( 62799 × 62815) / 1
LCM(62799,62815) = 3944719185 / 1
LCM(62799,62815) = 3944719185
Least Common Multiple (LCM) of 62799 and 62815 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 62799 and 62815. First we will calculate the prime factors of 62799 and 62815.
Prime Factorization of 62799
Prime factors of 62799 are 3, 11, 173. Prime factorization of 62799 in exponential form is:
62799 = 31 × 112 × 1731
Prime Factorization of 62815
Prime factors of 62815 are 5, 17, 739. Prime factorization of 62815 in exponential form is:
62815 = 51 × 171 × 7391
Now multiplying the highest exponent prime factors to calculate the LCM of 62799 and 62815.
LCM(62799,62815) = 31 × 112 × 1731 × 51 × 171 × 7391
LCM(62799,62815) = 3944719185
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