What is the Least Common Multiple of 20630 and 20648?
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 20630 and 20648 is 212984120.
LCM(20630,20648) = 212984120
Least Common Multiple of 20630 and 20648 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 20630 and 20648, than apply into the LCM equation.
GCF(20630,20648) = 2
LCM(20630,20648) = ( 20630 × 20648) / 2
LCM(20630,20648) = 425968240 / 2
LCM(20630,20648) = 212984120
Least Common Multiple (LCM) of 20630 and 20648 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 20630 and 20648. First we will calculate the prime factors of 20630 and 20648.
Prime Factorization of 20630
Prime factors of 20630 are 2, 5, 2063. Prime factorization of 20630 in exponential form is:
20630 = 21 × 51 × 20631
Prime Factorization of 20648
Prime factors of 20648 are 2, 29, 89. Prime factorization of 20648 in exponential form is:
20648 = 23 × 291 × 891
Now multiplying the highest exponent prime factors to calculate the LCM of 20630 and 20648.
LCM(20630,20648) = 23 × 51 × 20631 × 291 × 891
LCM(20630,20648) = 212984120
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