What is the Least Common Multiple of 42516 and 42522?
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 42516 and 42522 is 301310892.
LCM(42516,42522) = 301310892
Least Common Multiple of 42516 and 42522 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 42516 and 42522, than apply into the LCM equation.
GCF(42516,42522) = 6
LCM(42516,42522) = ( 42516 × 42522) / 6
LCM(42516,42522) = 1807865352 / 6
LCM(42516,42522) = 301310892
Least Common Multiple (LCM) of 42516 and 42522 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 42516 and 42522. First we will calculate the prime factors of 42516 and 42522.
Prime Factorization of 42516
Prime factors of 42516 are 2, 3, 1181. Prime factorization of 42516 in exponential form is:
42516 = 22 × 32 × 11811
Prime Factorization of 42522
Prime factors of 42522 are 2, 3, 19, 373. Prime factorization of 42522 in exponential form is:
42522 = 21 × 31 × 191 × 3731
Now multiplying the highest exponent prime factors to calculate the LCM of 42516 and 42522.
LCM(42516,42522) = 22 × 32 × 11811 × 191 × 3731
LCM(42516,42522) = 301310892
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