What is the Least Common Multiple of 68615 and 68620?
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 68620 is 941672260.
LCM(68615,68620) = 941672260
Least Common Multiple of 68615 and 68620 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 68620, than apply into the LCM equation.
GCF(68615,68620) = 5
LCM(68615,68620) = ( 68615 × 68620) / 5
LCM(68615,68620) = 4708361300 / 5
LCM(68615,68620) = 941672260
Least Common Multiple (LCM) of 68615 and 68620 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 68615 and 68620. First we will calculate the prime factors of 68615 and 68620.
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 68620
Prime factors of 68620 are 2, 5, 47, 73. Prime factorization of 68620 in exponential form is:
68620 = 22 × 51 × 471 × 731
Now multiplying the highest exponent prime factors to calculate the LCM of 68615 and 68620.
LCM(68615,68620) = 51 × 137231 × 22 × 471 × 731
LCM(68615,68620) = 941672260
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