What is the Least Common Multiple of 62808 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 62808 and 62815 is 3945284520.
LCM(62808,62815) = 3945284520
Least Common Multiple of 62808 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 62808 and 62815, than apply into the LCM equation.
GCF(62808,62815) = 1
LCM(62808,62815) = ( 62808 × 62815) / 1
LCM(62808,62815) = 3945284520 / 1
LCM(62808,62815) = 3945284520
Least Common Multiple (LCM) of 62808 and 62815 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 62808 and 62815. First we will calculate the prime factors of 62808 and 62815.
Prime Factorization of 62808
Prime factors of 62808 are 2, 3, 2617. Prime factorization of 62808 in exponential form is:
62808 = 23 × 31 × 26171
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 62808 and 62815.
LCM(62808,62815) = 23 × 31 × 26171 × 51 × 171 × 7391
LCM(62808,62815) = 3945284520
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