What is the Least Common Multiple of 8536 and 8548?
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 8536 and 8548 is 18241432.
LCM(8536,8548) = 18241432
Least Common Multiple of 8536 and 8548 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8536 and 8548, than apply into the LCM equation.
GCF(8536,8548) = 4
LCM(8536,8548) = ( 8536 × 8548) / 4
LCM(8536,8548) = 72965728 / 4
LCM(8536,8548) = 18241432
Least Common Multiple (LCM) of 8536 and 8548 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 8536 and 8548. First we will calculate the prime factors of 8536 and 8548.
Prime Factorization of 8536
Prime factors of 8536 are 2, 11, 97. Prime factorization of 8536 in exponential form is:
8536 = 23 × 111 × 971
Prime Factorization of 8548
Prime factors of 8548 are 2, 2137. Prime factorization of 8548 in exponential form is:
8548 = 22 × 21371
Now multiplying the highest exponent prime factors to calculate the LCM of 8536 and 8548.
LCM(8536,8548) = 23 × 111 × 971 × 21371
LCM(8536,8548) = 18241432
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