What is the Least Common Multiple of 55767 and 55781?
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 55767 and 55781 is 3110739027.
LCM(55767,55781) = 3110739027
Least Common Multiple of 55767 and 55781 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 55767 and 55781, than apply into the LCM equation.
GCF(55767,55781) = 1
LCM(55767,55781) = ( 55767 × 55781) / 1
LCM(55767,55781) = 3110739027 / 1
LCM(55767,55781) = 3110739027
Least Common Multiple (LCM) of 55767 and 55781 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 55767 and 55781. First we will calculate the prime factors of 55767 and 55781.
Prime Factorization of 55767
Prime factors of 55767 are 3, 29, 641. Prime factorization of 55767 in exponential form is:
55767 = 31 × 291 × 6411
Prime Factorization of 55781
Prime factors of 55781 are 11, 461. Prime factorization of 55781 in exponential form is:
55781 = 112 × 4611
Now multiplying the highest exponent prime factors to calculate the LCM of 55767 and 55781.
LCM(55767,55781) = 31 × 291 × 6411 × 112 × 4611
LCM(55767,55781) = 3110739027
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