What is the Least Common Multiple of 62767 and 62781?
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 62767 and 62781 is 3940575027.
LCM(62767,62781) = 3940575027
Least Common Multiple of 62767 and 62781 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 62767 and 62781, than apply into the LCM equation.
GCF(62767,62781) = 1
LCM(62767,62781) = ( 62767 × 62781) / 1
LCM(62767,62781) = 3940575027 / 1
LCM(62767,62781) = 3940575027
Least Common Multiple (LCM) of 62767 and 62781 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 62767 and 62781. First we will calculate the prime factors of 62767 and 62781.
Prime Factorization of 62767
Prime factors of 62767 are 23, 2729. Prime factorization of 62767 in exponential form is:
62767 = 231 × 27291
Prime Factorization of 62781
Prime factors of 62781 are 3, 17, 1231. Prime factorization of 62781 in exponential form is:
62781 = 31 × 171 × 12311
Now multiplying the highest exponent prime factors to calculate the LCM of 62767 and 62781.
LCM(62767,62781) = 231 × 27291 × 31 × 171 × 12311
LCM(62767,62781) = 3940575027
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