What is the Least Common Multiple of 77849 and 77867?
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 77849 and 77867 is 6061868083.
LCM(77849,77867) = 6061868083
Least Common Multiple of 77849 and 77867 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 77849 and 77867, than apply into the LCM equation.
GCF(77849,77867) = 1
LCM(77849,77867) = ( 77849 × 77867) / 1
LCM(77849,77867) = 6061868083 / 1
LCM(77849,77867) = 6061868083
Least Common Multiple (LCM) of 77849 and 77867 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 77849 and 77867. First we will calculate the prime factors of 77849 and 77867.
Prime Factorization of 77849
Prime factors of 77849 are 77849. Prime factorization of 77849 in exponential form is:
77849 = 778491
Prime Factorization of 77867
Prime factors of 77867 are 77867. Prime factorization of 77867 in exponential form is:
77867 = 778671
Now multiplying the highest exponent prime factors to calculate the LCM of 77849 and 77867.
LCM(77849,77867) = 778491 × 778671
LCM(77849,77867) = 6061868083
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