What is the Least Common Multiple of 8534 and 8542?
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 8534 and 8542 is 36448714.
LCM(8534,8542) = 36448714
Least Common Multiple of 8534 and 8542 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8534 and 8542, than apply into the LCM equation.
GCF(8534,8542) = 2
LCM(8534,8542) = ( 8534 × 8542) / 2
LCM(8534,8542) = 72897428 / 2
LCM(8534,8542) = 36448714
Least Common Multiple (LCM) of 8534 and 8542 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 8534 and 8542. First we will calculate the prime factors of 8534 and 8542.
Prime Factorization of 8534
Prime factors of 8534 are 2, 17, 251. Prime factorization of 8534 in exponential form is:
8534 = 21 × 171 × 2511
Prime Factorization of 8542
Prime factors of 8542 are 2, 4271. Prime factorization of 8542 in exponential form is:
8542 = 21 × 42711
Now multiplying the highest exponent prime factors to calculate the LCM of 8534 and 8542.
LCM(8534,8542) = 21 × 171 × 2511 × 42711
LCM(8534,8542) = 36448714
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