What is the Least Common Multiple of 77956 and 77963?
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 77956 and 77963 is 6077683628.
LCM(77956,77963) = 6077683628
Least Common Multiple of 77956 and 77963 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 77956 and 77963, than apply into the LCM equation.
GCF(77956,77963) = 1
LCM(77956,77963) = ( 77956 × 77963) / 1
LCM(77956,77963) = 6077683628 / 1
LCM(77956,77963) = 6077683628
Least Common Multiple (LCM) of 77956 and 77963 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 77956 and 77963. First we will calculate the prime factors of 77956 and 77963.
Prime Factorization of 77956
Prime factors of 77956 are 2, 19489. Prime factorization of 77956 in exponential form is:
77956 = 22 × 194891
Prime Factorization of 77963
Prime factors of 77963 are 53, 1471. Prime factorization of 77963 in exponential form is:
77963 = 531 × 14711
Now multiplying the highest exponent prime factors to calculate the LCM of 77956 and 77963.
LCM(77956,77963) = 22 × 194891 × 531 × 14711
LCM(77956,77963) = 6077683628
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