What is the Least Common Multiple of 21498 and 21503?
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 21498 and 21503 is 462271494.
LCM(21498,21503) = 462271494
Least Common Multiple of 21498 and 21503 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 21498 and 21503, than apply into the LCM equation.
GCF(21498,21503) = 1
LCM(21498,21503) = ( 21498 × 21503) / 1
LCM(21498,21503) = 462271494 / 1
LCM(21498,21503) = 462271494
Least Common Multiple (LCM) of 21498 and 21503 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 21498 and 21503. First we will calculate the prime factors of 21498 and 21503.
Prime Factorization of 21498
Prime factors of 21498 are 2, 3, 3583. Prime factorization of 21498 in exponential form is:
21498 = 21 × 31 × 35831
Prime Factorization of 21503
Prime factors of 21503 are 21503. Prime factorization of 21503 in exponential form is:
21503 = 215031
Now multiplying the highest exponent prime factors to calculate the LCM of 21498 and 21503.
LCM(21498,21503) = 21 × 31 × 35831 × 215031
LCM(21498,21503) = 462271494
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