What is the Least Common Multiple of 62461 and 62467?
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 62461 and 62467 is 3901751287.
LCM(62461,62467) = 3901751287
Least Common Multiple of 62461 and 62467 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 62461 and 62467, than apply into the LCM equation.
GCF(62461,62467) = 1
LCM(62461,62467) = ( 62461 × 62467) / 1
LCM(62461,62467) = 3901751287 / 1
LCM(62461,62467) = 3901751287
Least Common Multiple (LCM) of 62461 and 62467 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 62461 and 62467. First we will calculate the prime factors of 62461 and 62467.
Prime Factorization of 62461
Prime factors of 62461 are 7, 8923. Prime factorization of 62461 in exponential form is:
62461 = 71 × 89231
Prime Factorization of 62467
Prime factors of 62467 are 62467. Prime factorization of 62467 in exponential form is:
62467 = 624671
Now multiplying the highest exponent prime factors to calculate the LCM of 62461 and 62467.
LCM(62461,62467) = 71 × 89231 × 624671
LCM(62461,62467) = 3901751287
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