What is the Least Common Multiple of 62639 and 62643?
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 62639 and 62643 is 3923894877.
LCM(62639,62643) = 3923894877
Least Common Multiple of 62639 and 62643 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 62639 and 62643, than apply into the LCM equation.
GCF(62639,62643) = 1
LCM(62639,62643) = ( 62639 × 62643) / 1
LCM(62639,62643) = 3923894877 / 1
LCM(62639,62643) = 3923894877
Least Common Multiple (LCM) of 62639 and 62643 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 62639 and 62643. First we will calculate the prime factors of 62639 and 62643.
Prime Factorization of 62639
Prime factors of 62639 are 62639. Prime factorization of 62639 in exponential form is:
62639 = 626391
Prime Factorization of 62643
Prime factors of 62643 are 3, 7, 19, 157. Prime factorization of 62643 in exponential form is:
62643 = 31 × 71 × 191 × 1571
Now multiplying the highest exponent prime factors to calculate the LCM of 62639 and 62643.
LCM(62639,62643) = 626391 × 31 × 71 × 191 × 1571
LCM(62639,62643) = 3923894877
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