What is the Least Common Multiple of 54649 and 54667?
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 54649 and 54667 is 2987496883.
LCM(54649,54667) = 2987496883
Least Common Multiple of 54649 and 54667 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 54649 and 54667, than apply into the LCM equation.
GCF(54649,54667) = 1
LCM(54649,54667) = ( 54649 × 54667) / 1
LCM(54649,54667) = 2987496883 / 1
LCM(54649,54667) = 2987496883
Least Common Multiple (LCM) of 54649 and 54667 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 54649 and 54667. First we will calculate the prime factors of 54649 and 54667.
Prime Factorization of 54649
Prime factors of 54649 are 7, 37, 211. Prime factorization of 54649 in exponential form is:
54649 = 71 × 371 × 2111
Prime Factorization of 54667
Prime factors of 54667 are 54667. Prime factorization of 54667 in exponential form is:
54667 = 546671
Now multiplying the highest exponent prime factors to calculate the LCM of 54649 and 54667.
LCM(54649,54667) = 71 × 371 × 2111 × 546671
LCM(54649,54667) = 2987496883
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