What is the Least Common Multiple of 40627 and 40646?
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 40627 and 40646 is 1651325042.
LCM(40627,40646) = 1651325042
Least Common Multiple of 40627 and 40646 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 40627 and 40646, than apply into the LCM equation.
GCF(40627,40646) = 1
LCM(40627,40646) = ( 40627 × 40646) / 1
LCM(40627,40646) = 1651325042 / 1
LCM(40627,40646) = 1651325042
Least Common Multiple (LCM) of 40627 and 40646 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 40627 and 40646. First we will calculate the prime factors of 40627 and 40646.
Prime Factorization of 40627
Prime factors of 40627 are 40627. Prime factorization of 40627 in exponential form is:
40627 = 406271
Prime Factorization of 40646
Prime factors of 40646 are 2, 20323. Prime factorization of 40646 in exponential form is:
40646 = 21 × 203231
Now multiplying the highest exponent prime factors to calculate the LCM of 40627 and 40646.
LCM(40627,40646) = 406271 × 21 × 203231
LCM(40627,40646) = 1651325042
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