What is the Least Common Multiple of 55476 and 55495?
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 55476 and 55495 is 3078640620.
LCM(55476,55495) = 3078640620
Least Common Multiple of 55476 and 55495 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 55476 and 55495, than apply into the LCM equation.
GCF(55476,55495) = 1
LCM(55476,55495) = ( 55476 × 55495) / 1
LCM(55476,55495) = 3078640620 / 1
LCM(55476,55495) = 3078640620
Least Common Multiple (LCM) of 55476 and 55495 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 55476 and 55495. First we will calculate the prime factors of 55476 and 55495.
Prime Factorization of 55476
Prime factors of 55476 are 2, 3, 23, 67. Prime factorization of 55476 in exponential form is:
55476 = 22 × 32 × 231 × 671
Prime Factorization of 55495
Prime factors of 55495 are 5, 11, 1009. Prime factorization of 55495 in exponential form is:
55495 = 51 × 111 × 10091
Now multiplying the highest exponent prime factors to calculate the LCM of 55476 and 55495.
LCM(55476,55495) = 22 × 32 × 231 × 671 × 51 × 111 × 10091
LCM(55476,55495) = 3078640620
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