What is the Least Common Multiple of 40631 and 40639?
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 40631 and 40639 is 1651203209.
LCM(40631,40639) = 1651203209
Least Common Multiple of 40631 and 40639 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 40631 and 40639, than apply into the LCM equation.
GCF(40631,40639) = 1
LCM(40631,40639) = ( 40631 × 40639) / 1
LCM(40631,40639) = 1651203209 / 1
LCM(40631,40639) = 1651203209
Least Common Multiple (LCM) of 40631 and 40639 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 40631 and 40639. First we will calculate the prime factors of 40631 and 40639.
Prime Factorization of 40631
Prime factors of 40631 are 41, 991. Prime factorization of 40631 in exponential form is:
40631 = 411 × 9911
Prime Factorization of 40639
Prime factors of 40639 are 40639. Prime factorization of 40639 in exponential form is:
40639 = 406391
Now multiplying the highest exponent prime factors to calculate the LCM of 40631 and 40639.
LCM(40631,40639) = 411 × 9911 × 406391
LCM(40631,40639) = 1651203209
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