What is the Least Common Multiple of 54653 and 54670?
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 54653 and 54670 is 2987879510.
LCM(54653,54670) = 2987879510
Least Common Multiple of 54653 and 54670 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 54653 and 54670, than apply into the LCM equation.
GCF(54653,54670) = 1
LCM(54653,54670) = ( 54653 × 54670) / 1
LCM(54653,54670) = 2987879510 / 1
LCM(54653,54670) = 2987879510
Least Common Multiple (LCM) of 54653 and 54670 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 54653 and 54670. First we will calculate the prime factors of 54653 and 54670.
Prime Factorization of 54653
Prime factors of 54653 are 31, 41, 43. Prime factorization of 54653 in exponential form is:
54653 = 311 × 411 × 431
Prime Factorization of 54670
Prime factors of 54670 are 2, 5, 7, 11, 71. Prime factorization of 54670 in exponential form is:
54670 = 21 × 51 × 71 × 111 × 711
Now multiplying the highest exponent prime factors to calculate the LCM of 54653 and 54670.
LCM(54653,54670) = 311 × 411 × 431 × 21 × 51 × 71 × 111 × 711
LCM(54653,54670) = 2987879510
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