What is the Least Common Multiple of 79547 and 79551?
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 79547 and 79551 is 6328043397.
LCM(79547,79551) = 6328043397
Least Common Multiple of 79547 and 79551 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 79547 and 79551, than apply into the LCM equation.
GCF(79547,79551) = 1
LCM(79547,79551) = ( 79547 × 79551) / 1
LCM(79547,79551) = 6328043397 / 1
LCM(79547,79551) = 6328043397
Least Common Multiple (LCM) of 79547 and 79551 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 79547 and 79551. First we will calculate the prime factors of 79547 and 79551.
Prime Factorization of 79547
Prime factors of 79547 are 13, 29, 211. Prime factorization of 79547 in exponential form is:
79547 = 131 × 291 × 2111
Prime Factorization of 79551
Prime factors of 79551 are 3, 8839. Prime factorization of 79551 in exponential form is:
79551 = 32 × 88391
Now multiplying the highest exponent prime factors to calculate the LCM of 79547 and 79551.
LCM(79547,79551) = 131 × 291 × 2111 × 32 × 88391
LCM(79547,79551) = 6328043397
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