What is the Least Common Multiple of 79557 and 79561?
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 79557 and 79561 is 6329634477.
LCM(79557,79561) = 6329634477
Least Common Multiple of 79557 and 79561 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 79557 and 79561, than apply into the LCM equation.
GCF(79557,79561) = 1
LCM(79557,79561) = ( 79557 × 79561) / 1
LCM(79557,79561) = 6329634477 / 1
LCM(79557,79561) = 6329634477
Least Common Multiple (LCM) of 79557 and 79561 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 79557 and 79561. First we will calculate the prime factors of 79557 and 79561.
Prime Factorization of 79557
Prime factors of 79557 are 3, 23, 1153. Prime factorization of 79557 in exponential form is:
79557 = 31 × 231 × 11531
Prime Factorization of 79561
Prime factors of 79561 are 79561. Prime factorization of 79561 in exponential form is:
79561 = 795611
Now multiplying the highest exponent prime factors to calculate the LCM of 79557 and 79561.
LCM(79557,79561) = 31 × 231 × 11531 × 795611
LCM(79557,79561) = 6329634477
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