What is the Least Common Multiple of 40621 and 40630?
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 40621 and 40630 is 1650431230.
LCM(40621,40630) = 1650431230
Least Common Multiple of 40621 and 40630 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 40621 and 40630, than apply into the LCM equation.
GCF(40621,40630) = 1
LCM(40621,40630) = ( 40621 × 40630) / 1
LCM(40621,40630) = 1650431230 / 1
LCM(40621,40630) = 1650431230
Least Common Multiple (LCM) of 40621 and 40630 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 40621 and 40630. First we will calculate the prime factors of 40621 and 40630.
Prime Factorization of 40621
Prime factors of 40621 are 7, 829. Prime factorization of 40621 in exponential form is:
40621 = 72 × 8291
Prime Factorization of 40630
Prime factors of 40630 are 2, 5, 17, 239. Prime factorization of 40630 in exponential form is:
40630 = 21 × 51 × 171 × 2391
Now multiplying the highest exponent prime factors to calculate the LCM of 40621 and 40630.
LCM(40621,40630) = 72 × 8291 × 21 × 51 × 171 × 2391
LCM(40621,40630) = 1650431230
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