What is the Least Common Multiple of 87913 and 87921?
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 87913 and 87921 is 7729398873.
LCM(87913,87921) = 7729398873
Least Common Multiple of 87913 and 87921 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 87913 and 87921, than apply into the LCM equation.
GCF(87913,87921) = 1
LCM(87913,87921) = ( 87913 × 87921) / 1
LCM(87913,87921) = 7729398873 / 1
LCM(87913,87921) = 7729398873
Least Common Multiple (LCM) of 87913 and 87921 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 87913 and 87921. First we will calculate the prime factors of 87913 and 87921.
Prime Factorization of 87913
Prime factors of 87913 are 7, 19, 661. Prime factorization of 87913 in exponential form is:
87913 = 71 × 191 × 6611
Prime Factorization of 87921
Prime factors of 87921 are 3, 9769. Prime factorization of 87921 in exponential form is:
87921 = 32 × 97691
Now multiplying the highest exponent prime factors to calculate the LCM of 87913 and 87921.
LCM(87913,87921) = 71 × 191 × 6611 × 32 × 97691
LCM(87913,87921) = 7729398873
Related Least Common Multiples of 87913
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Related Least Common Multiples of 87921
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