What is the Least Common Multiple of 8536 and 8541?
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 8541 is 72905976.
LCM(8536,8541) = 72905976
Least Common Multiple of 8536 and 8541 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 8541, than apply into the LCM equation.
GCF(8536,8541) = 1
LCM(8536,8541) = ( 8536 × 8541) / 1
LCM(8536,8541) = 72905976 / 1
LCM(8536,8541) = 72905976
Least Common Multiple (LCM) of 8536 and 8541 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 8536 and 8541. First we will calculate the prime factors of 8536 and 8541.
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 8541
Prime factors of 8541 are 3, 13, 73. Prime factorization of 8541 in exponential form is:
8541 = 32 × 131 × 731
Now multiplying the highest exponent prime factors to calculate the LCM of 8536 and 8541.
LCM(8536,8541) = 23 × 111 × 971 × 32 × 131 × 731
LCM(8536,8541) = 72905976
Related Least Common Multiples of 8536
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Related Least Common Multiples of 8541
- LCM of 8541 and 8545
- LCM of 8541 and 8546
- LCM of 8541 and 8547
- LCM of 8541 and 8548
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