What is the Least Common Multiple of 55476 and 55480?
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 55480 is 769452120.
LCM(55476,55480) = 769452120
Least Common Multiple of 55476 and 55480 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 55480, than apply into the LCM equation.
GCF(55476,55480) = 4
LCM(55476,55480) = ( 55476 × 55480) / 4
LCM(55476,55480) = 3077808480 / 4
LCM(55476,55480) = 769452120
Least Common Multiple (LCM) of 55476 and 55480 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 55476 and 55480. First we will calculate the prime factors of 55476 and 55480.
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 55480
Prime factors of 55480 are 2, 5, 19, 73. Prime factorization of 55480 in exponential form is:
55480 = 23 × 51 × 191 × 731
Now multiplying the highest exponent prime factors to calculate the LCM of 55476 and 55480.
LCM(55476,55480) = 23 × 32 × 231 × 671 × 51 × 191 × 731
LCM(55476,55480) = 769452120
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