What is the Least Common Multiple of 64477 and 64492?
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 64477 and 64492 is 4158250684.
LCM(64477,64492) = 4158250684
Least Common Multiple of 64477 and 64492 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 64477 and 64492, than apply into the LCM equation.
GCF(64477,64492) = 1
LCM(64477,64492) = ( 64477 × 64492) / 1
LCM(64477,64492) = 4158250684 / 1
LCM(64477,64492) = 4158250684
Least Common Multiple (LCM) of 64477 and 64492 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 64477 and 64492. First we will calculate the prime factors of 64477 and 64492.
Prime Factorization of 64477
Prime factors of 64477 are 7, 61, 151. Prime factorization of 64477 in exponential form is:
64477 = 71 × 611 × 1511
Prime Factorization of 64492
Prime factors of 64492 are 2, 23, 701. Prime factorization of 64492 in exponential form is:
64492 = 22 × 231 × 7011
Now multiplying the highest exponent prime factors to calculate the LCM of 64477 and 64492.
LCM(64477,64492) = 71 × 611 × 1511 × 22 × 231 × 7011
LCM(64477,64492) = 4158250684
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