What is the Least Common Multiple of 42972 and 42978?
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 42972 and 42978 is 307808436.
LCM(42972,42978) = 307808436
Least Common Multiple of 42972 and 42978 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 42972 and 42978, than apply into the LCM equation.
GCF(42972,42978) = 6
LCM(42972,42978) = ( 42972 × 42978) / 6
LCM(42972,42978) = 1846850616 / 6
LCM(42972,42978) = 307808436
Least Common Multiple (LCM) of 42972 and 42978 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 42972 and 42978. First we will calculate the prime factors of 42972 and 42978.
Prime Factorization of 42972
Prime factors of 42972 are 2, 3, 3581. Prime factorization of 42972 in exponential form is:
42972 = 22 × 31 × 35811
Prime Factorization of 42978
Prime factors of 42978 are 2, 3, 13, 19, 29. Prime factorization of 42978 in exponential form is:
42978 = 21 × 31 × 131 × 191 × 291
Now multiplying the highest exponent prime factors to calculate the LCM of 42972 and 42978.
LCM(42972,42978) = 22 × 31 × 35811 × 131 × 191 × 291
LCM(42972,42978) = 307808436
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