What is the Least Common Multiple of 42236 and 42248?
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 42236 and 42248 is 446096632.
LCM(42236,42248) = 446096632
Least Common Multiple of 42236 and 42248 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 42236 and 42248, than apply into the LCM equation.
GCF(42236,42248) = 4
LCM(42236,42248) = ( 42236 × 42248) / 4
LCM(42236,42248) = 1784386528 / 4
LCM(42236,42248) = 446096632
Least Common Multiple (LCM) of 42236 and 42248 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 42236 and 42248. First we will calculate the prime factors of 42236 and 42248.
Prime Factorization of 42236
Prime factors of 42236 are 2, 10559. Prime factorization of 42236 in exponential form is:
42236 = 22 × 105591
Prime Factorization of 42248
Prime factors of 42248 are 2, 5281. Prime factorization of 42248 in exponential form is:
42248 = 23 × 52811
Now multiplying the highest exponent prime factors to calculate the LCM of 42236 and 42248.
LCM(42236,42248) = 23 × 105591 × 52811
LCM(42236,42248) = 446096632
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