What is the Least Common Multiple of 21070 and 21085?
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 21070 and 21085 is 88852190.
LCM(21070,21085) = 88852190
Least Common Multiple of 21070 and 21085 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 21070 and 21085, than apply into the LCM equation.
GCF(21070,21085) = 5
LCM(21070,21085) = ( 21070 × 21085) / 5
LCM(21070,21085) = 444260950 / 5
LCM(21070,21085) = 88852190
Least Common Multiple (LCM) of 21070 and 21085 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 21070 and 21085. First we will calculate the prime factors of 21070 and 21085.
Prime Factorization of 21070
Prime factors of 21070 are 2, 5, 7, 43. Prime factorization of 21070 in exponential form is:
21070 = 21 × 51 × 72 × 431
Prime Factorization of 21085
Prime factors of 21085 are 5, 4217. Prime factorization of 21085 in exponential form is:
21085 = 51 × 42171
Now multiplying the highest exponent prime factors to calculate the LCM of 21070 and 21085.
LCM(21070,21085) = 21 × 51 × 72 × 431 × 42171
LCM(21070,21085) = 88852190
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