What is the Least Common Multiple of 61063 and 61068?
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 61063 and 61068 is 3728995284.
LCM(61063,61068) = 3728995284
Least Common Multiple of 61063 and 61068 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 61063 and 61068, than apply into the LCM equation.
GCF(61063,61068) = 1
LCM(61063,61068) = ( 61063 × 61068) / 1
LCM(61063,61068) = 3728995284 / 1
LCM(61063,61068) = 3728995284
Least Common Multiple (LCM) of 61063 and 61068 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 61063 and 61068. First we will calculate the prime factors of 61063 and 61068.
Prime Factorization of 61063
Prime factors of 61063 are 227, 269. Prime factorization of 61063 in exponential form is:
61063 = 2271 × 2691
Prime Factorization of 61068
Prime factors of 61068 are 2, 3, 7, 727. Prime factorization of 61068 in exponential form is:
61068 = 22 × 31 × 71 × 7271
Now multiplying the highest exponent prime factors to calculate the LCM of 61063 and 61068.
LCM(61063,61068) = 2271 × 2691 × 22 × 31 × 71 × 7271
LCM(61063,61068) = 3728995284
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