What is the Least Common Multiple of 7911 and 7915?
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 7911 and 7915 is 62615565.
LCM(7911,7915) = 62615565
Least Common Multiple of 7911 and 7915 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7911 and 7915, than apply into the LCM equation.
GCF(7911,7915) = 1
LCM(7911,7915) = ( 7911 × 7915) / 1
LCM(7911,7915) = 62615565 / 1
LCM(7911,7915) = 62615565
Least Common Multiple (LCM) of 7911 and 7915 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 7911 and 7915. First we will calculate the prime factors of 7911 and 7915.
Prime Factorization of 7911
Prime factors of 7911 are 3, 293. Prime factorization of 7911 in exponential form is:
7911 = 33 × 2931
Prime Factorization of 7915
Prime factors of 7915 are 5, 1583. Prime factorization of 7915 in exponential form is:
7915 = 51 × 15831
Now multiplying the highest exponent prime factors to calculate the LCM of 7911 and 7915.
LCM(7911,7915) = 33 × 2931 × 51 × 15831
LCM(7911,7915) = 62615565
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