What is the Least Common Multiple of 65639 and 65648?
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 65639 and 65648 is 4309069072.
LCM(65639,65648) = 4309069072
Least Common Multiple of 65639 and 65648 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 65639 and 65648, than apply into the LCM equation.
GCF(65639,65648) = 1
LCM(65639,65648) = ( 65639 × 65648) / 1
LCM(65639,65648) = 4309069072 / 1
LCM(65639,65648) = 4309069072
Least Common Multiple (LCM) of 65639 and 65648 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 65639 and 65648. First we will calculate the prime factors of 65639 and 65648.
Prime Factorization of 65639
Prime factors of 65639 are 7, 9377. Prime factorization of 65639 in exponential form is:
65639 = 71 × 93771
Prime Factorization of 65648
Prime factors of 65648 are 2, 11, 373. Prime factorization of 65648 in exponential form is:
65648 = 24 × 111 × 3731
Now multiplying the highest exponent prime factors to calculate the LCM of 65639 and 65648.
LCM(65639,65648) = 71 × 93771 × 24 × 111 × 3731
LCM(65639,65648) = 4309069072
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