What is the Least Common Multiple of 65622 and 65639?
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 65622 and 65639 is 4307362458.
LCM(65622,65639) = 4307362458
Least Common Multiple of 65622 and 65639 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 65622 and 65639, than apply into the LCM equation.
GCF(65622,65639) = 1
LCM(65622,65639) = ( 65622 × 65639) / 1
LCM(65622,65639) = 4307362458 / 1
LCM(65622,65639) = 4307362458
Least Common Multiple (LCM) of 65622 and 65639 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 65622 and 65639. First we will calculate the prime factors of 65622 and 65639.
Prime Factorization of 65622
Prime factors of 65622 are 2, 3, 10937. Prime factorization of 65622 in exponential form is:
65622 = 21 × 31 × 109371
Prime Factorization of 65639
Prime factors of 65639 are 7, 9377. Prime factorization of 65639 in exponential form is:
65639 = 71 × 93771
Now multiplying the highest exponent prime factors to calculate the LCM of 65622 and 65639.
LCM(65622,65639) = 21 × 31 × 109371 × 71 × 93771
LCM(65622,65639) = 4307362458
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