What is the Least Common Multiple of 77859 and 77863?
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 77859 and 77863 is 6062335317.
LCM(77859,77863) = 6062335317
Least Common Multiple of 77859 and 77863 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 77859 and 77863, than apply into the LCM equation.
GCF(77859,77863) = 1
LCM(77859,77863) = ( 77859 × 77863) / 1
LCM(77859,77863) = 6062335317 / 1
LCM(77859,77863) = 6062335317
Least Common Multiple (LCM) of 77859 and 77863 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 77859 and 77863. First we will calculate the prime factors of 77859 and 77863.
Prime Factorization of 77859
Prime factors of 77859 are 3, 41, 211. Prime factorization of 77859 in exponential form is:
77859 = 32 × 411 × 2111
Prime Factorization of 77863
Prime factors of 77863 are 77863. Prime factorization of 77863 in exponential form is:
77863 = 778631
Now multiplying the highest exponent prime factors to calculate the LCM of 77859 and 77863.
LCM(77859,77863) = 32 × 411 × 2111 × 778631
LCM(77859,77863) = 6062335317
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