What is the Least Common Multiple of 77863 and 77876?
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 77863 and 77876 is 6063658988.
LCM(77863,77876) = 6063658988
Least Common Multiple of 77863 and 77876 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 77863 and 77876, than apply into the LCM equation.
GCF(77863,77876) = 1
LCM(77863,77876) = ( 77863 × 77876) / 1
LCM(77863,77876) = 6063658988 / 1
LCM(77863,77876) = 6063658988
Least Common Multiple (LCM) of 77863 and 77876 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 77863 and 77876. First we will calculate the prime factors of 77863 and 77876.
Prime Factorization of 77863
Prime factors of 77863 are 77863. Prime factorization of 77863 in exponential form is:
77863 = 778631
Prime Factorization of 77876
Prime factors of 77876 are 2, 19469. Prime factorization of 77876 in exponential form is:
77876 = 22 × 194691
Now multiplying the highest exponent prime factors to calculate the LCM of 77863 and 77876.
LCM(77863,77876) = 778631 × 22 × 194691
LCM(77863,77876) = 6063658988
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