What is the Least Common Multiple of 76891 and 76910?
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 76891 and 76910 is 5913686810.
LCM(76891,76910) = 5913686810
Least Common Multiple of 76891 and 76910 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 76891 and 76910, than apply into the LCM equation.
GCF(76891,76910) = 1
LCM(76891,76910) = ( 76891 × 76910) / 1
LCM(76891,76910) = 5913686810 / 1
LCM(76891,76910) = 5913686810
Least Common Multiple (LCM) of 76891 and 76910 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 76891 and 76910. First we will calculate the prime factors of 76891 and 76910.
Prime Factorization of 76891
Prime factors of 76891 are 17, 4523. Prime factorization of 76891 in exponential form is:
76891 = 171 × 45231
Prime Factorization of 76910
Prime factors of 76910 are 2, 5, 7691. Prime factorization of 76910 in exponential form is:
76910 = 21 × 51 × 76911
Now multiplying the highest exponent prime factors to calculate the LCM of 76891 and 76910.
LCM(76891,76910) = 171 × 45231 × 21 × 51 × 76911
LCM(76891,76910) = 5913686810
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