What is the Least Common Multiple of 68635 and 68640?
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 68635 and 68640 is 942221280.
LCM(68635,68640) = 942221280
Least Common Multiple of 68635 and 68640 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 68635 and 68640, than apply into the LCM equation.
GCF(68635,68640) = 5
LCM(68635,68640) = ( 68635 × 68640) / 5
LCM(68635,68640) = 4711106400 / 5
LCM(68635,68640) = 942221280
Least Common Multiple (LCM) of 68635 and 68640 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 68635 and 68640. First we will calculate the prime factors of 68635 and 68640.
Prime Factorization of 68635
Prime factors of 68635 are 5, 7, 37, 53. Prime factorization of 68635 in exponential form is:
68635 = 51 × 71 × 371 × 531
Prime Factorization of 68640
Prime factors of 68640 are 2, 3, 5, 11, 13. Prime factorization of 68640 in exponential form is:
68640 = 25 × 31 × 51 × 111 × 131
Now multiplying the highest exponent prime factors to calculate the LCM of 68635 and 68640.
LCM(68635,68640) = 51 × 71 × 371 × 531 × 25 × 31 × 111 × 131
LCM(68635,68640) = 942221280
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