What is the Least Common Multiple of 42290 and 42297?
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 42290 and 42297 is 1788740130.
LCM(42290,42297) = 1788740130
Least Common Multiple of 42290 and 42297 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 42290 and 42297, than apply into the LCM equation.
GCF(42290,42297) = 1
LCM(42290,42297) = ( 42290 × 42297) / 1
LCM(42290,42297) = 1788740130 / 1
LCM(42290,42297) = 1788740130
Least Common Multiple (LCM) of 42290 and 42297 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 42290 and 42297. First we will calculate the prime factors of 42290 and 42297.
Prime Factorization of 42290
Prime factors of 42290 are 2, 5, 4229. Prime factorization of 42290 in exponential form is:
42290 = 21 × 51 × 42291
Prime Factorization of 42297
Prime factors of 42297 are 3, 23, 613. Prime factorization of 42297 in exponential form is:
42297 = 31 × 231 × 6131
Now multiplying the highest exponent prime factors to calculate the LCM of 42290 and 42297.
LCM(42290,42297) = 21 × 51 × 42291 × 31 × 231 × 6131
LCM(42290,42297) = 1788740130
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