What is the Least Common Multiple of 42191 and 42198?
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 42191 and 42198 is 1780375818.
LCM(42191,42198) = 1780375818
Least Common Multiple of 42191 and 42198 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 42191 and 42198, than apply into the LCM equation.
GCF(42191,42198) = 1
LCM(42191,42198) = ( 42191 × 42198) / 1
LCM(42191,42198) = 1780375818 / 1
LCM(42191,42198) = 1780375818
Least Common Multiple (LCM) of 42191 and 42198 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 42191 and 42198. First we will calculate the prime factors of 42191 and 42198.
Prime Factorization of 42191
Prime factors of 42191 are 31, 1361. Prime factorization of 42191 in exponential form is:
42191 = 311 × 13611
Prime Factorization of 42198
Prime factors of 42198 are 2, 3, 13, 541. Prime factorization of 42198 in exponential form is:
42198 = 21 × 31 × 131 × 5411
Now multiplying the highest exponent prime factors to calculate the LCM of 42191 and 42198.
LCM(42191,42198) = 311 × 13611 × 21 × 31 × 131 × 5411
LCM(42191,42198) = 1780375818
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