What is the Least Common Multiple of 91635 and 91640?
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 91635 and 91640 is 1679486280.
LCM(91635,91640) = 1679486280
Least Common Multiple of 91635 and 91640 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 91635 and 91640, than apply into the LCM equation.
GCF(91635,91640) = 5
LCM(91635,91640) = ( 91635 × 91640) / 5
LCM(91635,91640) = 8397431400 / 5
LCM(91635,91640) = 1679486280
Least Common Multiple (LCM) of 91635 and 91640 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 91635 and 91640. First we will calculate the prime factors of 91635 and 91640.
Prime Factorization of 91635
Prime factors of 91635 are 3, 5, 41, 149. Prime factorization of 91635 in exponential form is:
91635 = 31 × 51 × 411 × 1491
Prime Factorization of 91640
Prime factors of 91640 are 2, 5, 29, 79. Prime factorization of 91640 in exponential form is:
91640 = 23 × 51 × 291 × 791
Now multiplying the highest exponent prime factors to calculate the LCM of 91635 and 91640.
LCM(91635,91640) = 31 × 51 × 411 × 1491 × 23 × 291 × 791
LCM(91635,91640) = 1679486280
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