What is the Least Common Multiple of 63602 and 63611?
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 63602 and 63611 is 4045786822.
LCM(63602,63611) = 4045786822
Least Common Multiple of 63602 and 63611 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 63602 and 63611, than apply into the LCM equation.
GCF(63602,63611) = 1
LCM(63602,63611) = ( 63602 × 63611) / 1
LCM(63602,63611) = 4045786822 / 1
LCM(63602,63611) = 4045786822
Least Common Multiple (LCM) of 63602 and 63611 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 63602 and 63611. First we will calculate the prime factors of 63602 and 63611.
Prime Factorization of 63602
Prime factors of 63602 are 2, 7, 11, 59. Prime factorization of 63602 in exponential form is:
63602 = 21 × 72 × 111 × 591
Prime Factorization of 63611
Prime factors of 63611 are 63611. Prime factorization of 63611 in exponential form is:
63611 = 636111
Now multiplying the highest exponent prime factors to calculate the LCM of 63602 and 63611.
LCM(63602,63611) = 21 × 72 × 111 × 591 × 636111
LCM(63602,63611) = 4045786822
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