What is the Least Common Multiple of 42436 and 42446?
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 42436 and 42446 is 900619228.
LCM(42436,42446) = 900619228
Least Common Multiple of 42436 and 42446 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 42436 and 42446, than apply into the LCM equation.
GCF(42436,42446) = 2
LCM(42436,42446) = ( 42436 × 42446) / 2
LCM(42436,42446) = 1801238456 / 2
LCM(42436,42446) = 900619228
Least Common Multiple (LCM) of 42436 and 42446 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 42436 and 42446. First we will calculate the prime factors of 42436 and 42446.
Prime Factorization of 42436
Prime factors of 42436 are 2, 103. Prime factorization of 42436 in exponential form is:
42436 = 22 × 1032
Prime Factorization of 42446
Prime factors of 42446 are 2, 19, 1117. Prime factorization of 42446 in exponential form is:
42446 = 21 × 191 × 11171
Now multiplying the highest exponent prime factors to calculate the LCM of 42436 and 42446.
LCM(42436,42446) = 22 × 1032 × 191 × 11171
LCM(42436,42446) = 900619228
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