What is the Least Common Multiple of 68615 and 68628?
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 68615 and 68628 is 4708910220.
LCM(68615,68628) = 4708910220
Least Common Multiple of 68615 and 68628 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 68615 and 68628, than apply into the LCM equation.
GCF(68615,68628) = 1
LCM(68615,68628) = ( 68615 × 68628) / 1
LCM(68615,68628) = 4708910220 / 1
LCM(68615,68628) = 4708910220
Least Common Multiple (LCM) of 68615 and 68628 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 68615 and 68628. First we will calculate the prime factors of 68615 and 68628.
Prime Factorization of 68615
Prime factors of 68615 are 5, 13723. Prime factorization of 68615 in exponential form is:
68615 = 51 × 137231
Prime Factorization of 68628
Prime factors of 68628 are 2, 3, 7, 19, 43. Prime factorization of 68628 in exponential form is:
68628 = 22 × 31 × 71 × 191 × 431
Now multiplying the highest exponent prime factors to calculate the LCM of 68615 and 68628.
LCM(68615,68628) = 51 × 137231 × 22 × 31 × 71 × 191 × 431
LCM(68615,68628) = 4708910220
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