What is the Least Common Multiple of 64766 and 64772?
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 64766 and 64772 is 2097511676.
LCM(64766,64772) = 2097511676
Least Common Multiple of 64766 and 64772 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 64766 and 64772, than apply into the LCM equation.
GCF(64766,64772) = 2
LCM(64766,64772) = ( 64766 × 64772) / 2
LCM(64766,64772) = 4195023352 / 2
LCM(64766,64772) = 2097511676
Least Common Multiple (LCM) of 64766 and 64772 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 64766 and 64772. First we will calculate the prime factors of 64766 and 64772.
Prime Factorization of 64766
Prime factors of 64766 are 2, 13, 47, 53. Prime factorization of 64766 in exponential form is:
64766 = 21 × 131 × 471 × 531
Prime Factorization of 64772
Prime factors of 64772 are 2, 16193. Prime factorization of 64772 in exponential form is:
64772 = 22 × 161931
Now multiplying the highest exponent prime factors to calculate the LCM of 64766 and 64772.
LCM(64766,64772) = 22 × 131 × 471 × 531 × 161931
LCM(64766,64772) = 2097511676
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