What is the Least Common Multiple of 87541 and 87557?
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 87541 and 87557 is 7664827337.
LCM(87541,87557) = 7664827337
Least Common Multiple of 87541 and 87557 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 87541 and 87557, than apply into the LCM equation.
GCF(87541,87557) = 1
LCM(87541,87557) = ( 87541 × 87557) / 1
LCM(87541,87557) = 7664827337 / 1
LCM(87541,87557) = 7664827337
Least Common Multiple (LCM) of 87541 and 87557 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 87541 and 87557. First we will calculate the prime factors of 87541 and 87557.
Prime Factorization of 87541
Prime factors of 87541 are 87541. Prime factorization of 87541 in exponential form is:
87541 = 875411
Prime Factorization of 87557
Prime factors of 87557 are 87557. Prime factorization of 87557 in exponential form is:
87557 = 875571
Now multiplying the highest exponent prime factors to calculate the LCM of 87541 and 87557.
LCM(87541,87557) = 875411 × 875571
LCM(87541,87557) = 7664827337
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