What is the Least Common Multiple of 42482 and 42486?
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 42482 and 42486 is 902445126.
LCM(42482,42486) = 902445126
Least Common Multiple of 42482 and 42486 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 42482 and 42486, than apply into the LCM equation.
GCF(42482,42486) = 2
LCM(42482,42486) = ( 42482 × 42486) / 2
LCM(42482,42486) = 1804890252 / 2
LCM(42482,42486) = 902445126
Least Common Multiple (LCM) of 42482 and 42486 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 42482 and 42486. First we will calculate the prime factors of 42482 and 42486.
Prime Factorization of 42482
Prime factors of 42482 are 2, 11, 1931. Prime factorization of 42482 in exponential form is:
42482 = 21 × 111 × 19311
Prime Factorization of 42486
Prime factors of 42486 are 2, 3, 73, 97. Prime factorization of 42486 in exponential form is:
42486 = 21 × 31 × 731 × 971
Now multiplying the highest exponent prime factors to calculate the LCM of 42482 and 42486.
LCM(42482,42486) = 21 × 111 × 19311 × 31 × 731 × 971
LCM(42482,42486) = 902445126
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