What is the Least Common Multiple of 79537 and 79546?
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 79537 and 79546 is 6326850202.
LCM(79537,79546) = 6326850202
Least Common Multiple of 79537 and 79546 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 79537 and 79546, than apply into the LCM equation.
GCF(79537,79546) = 1
LCM(79537,79546) = ( 79537 × 79546) / 1
LCM(79537,79546) = 6326850202 / 1
LCM(79537,79546) = 6326850202
Least Common Multiple (LCM) of 79537 and 79546 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 79537 and 79546. First we will calculate the prime factors of 79537 and 79546.
Prime Factorization of 79537
Prime factors of 79537 are 79537. Prime factorization of 79537 in exponential form is:
79537 = 795371
Prime Factorization of 79546
Prime factors of 79546 are 2, 31, 1283. Prime factorization of 79546 in exponential form is:
79546 = 21 × 311 × 12831
Now multiplying the highest exponent prime factors to calculate the LCM of 79537 and 79546.
LCM(79537,79546) = 795371 × 21 × 311 × 12831
LCM(79537,79546) = 6326850202
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