What is the Least Common Multiple of 62691 and 62710?
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 62691 and 62710 is 3931352610.
LCM(62691,62710) = 3931352610
Least Common Multiple of 62691 and 62710 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 62691 and 62710, than apply into the LCM equation.
GCF(62691,62710) = 1
LCM(62691,62710) = ( 62691 × 62710) / 1
LCM(62691,62710) = 3931352610 / 1
LCM(62691,62710) = 3931352610
Least Common Multiple (LCM) of 62691 and 62710 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 62691 and 62710. First we will calculate the prime factors of 62691 and 62710.
Prime Factorization of 62691
Prime factors of 62691 are 3, 20897. Prime factorization of 62691 in exponential form is:
62691 = 31 × 208971
Prime Factorization of 62710
Prime factors of 62710 are 2, 5, 6271. Prime factorization of 62710 in exponential form is:
62710 = 21 × 51 × 62711
Now multiplying the highest exponent prime factors to calculate the LCM of 62691 and 62710.
LCM(62691,62710) = 31 × 208971 × 21 × 51 × 62711
LCM(62691,62710) = 3931352610
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