What is the Least Common Multiple of 11063 and 11070?
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 11063 and 11070 is 122467410.
LCM(11063,11070) = 122467410
Least Common Multiple of 11063 and 11070 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 11063 and 11070, than apply into the LCM equation.
GCF(11063,11070) = 1
LCM(11063,11070) = ( 11063 × 11070) / 1
LCM(11063,11070) = 122467410 / 1
LCM(11063,11070) = 122467410
Least Common Multiple (LCM) of 11063 and 11070 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 11063 and 11070. First we will calculate the prime factors of 11063 and 11070.
Prime Factorization of 11063
Prime factors of 11063 are 13, 23, 37. Prime factorization of 11063 in exponential form is:
11063 = 131 × 231 × 371
Prime Factorization of 11070
Prime factors of 11070 are 2, 3, 5, 41. Prime factorization of 11070 in exponential form is:
11070 = 21 × 33 × 51 × 411
Now multiplying the highest exponent prime factors to calculate the LCM of 11063 and 11070.
LCM(11063,11070) = 131 × 231 × 371 × 21 × 33 × 51 × 411
LCM(11063,11070) = 122467410
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