What is the Least Common Multiple of 21119 and 21138?
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 21119 and 21138 is 446413422.
LCM(21119,21138) = 446413422
Least Common Multiple of 21119 and 21138 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 21119 and 21138, than apply into the LCM equation.
GCF(21119,21138) = 1
LCM(21119,21138) = ( 21119 × 21138) / 1
LCM(21119,21138) = 446413422 / 1
LCM(21119,21138) = 446413422
Least Common Multiple (LCM) of 21119 and 21138 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 21119 and 21138. First we will calculate the prime factors of 21119 and 21138.
Prime Factorization of 21119
Prime factors of 21119 are 7, 431. Prime factorization of 21119 in exponential form is:
21119 = 72 × 4311
Prime Factorization of 21138
Prime factors of 21138 are 2, 3, 13, 271. Prime factorization of 21138 in exponential form is:
21138 = 21 × 31 × 131 × 2711
Now multiplying the highest exponent prime factors to calculate the LCM of 21119 and 21138.
LCM(21119,21138) = 72 × 4311 × 21 × 31 × 131 × 2711
LCM(21119,21138) = 446413422
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