What is the Least Common Multiple of 66615 and 66625?
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 66615 and 66625 is 887644875.
LCM(66615,66625) = 887644875
Least Common Multiple of 66615 and 66625 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 66615 and 66625, than apply into the LCM equation.
GCF(66615,66625) = 5
LCM(66615,66625) = ( 66615 × 66625) / 5
LCM(66615,66625) = 4438224375 / 5
LCM(66615,66625) = 887644875
Least Common Multiple (LCM) of 66615 and 66625 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 66615 and 66625. First we will calculate the prime factors of 66615 and 66625.
Prime Factorization of 66615
Prime factors of 66615 are 3, 5, 4441. Prime factorization of 66615 in exponential form is:
66615 = 31 × 51 × 44411
Prime Factorization of 66625
Prime factors of 66625 are 5, 13, 41. Prime factorization of 66625 in exponential form is:
66625 = 53 × 131 × 411
Now multiplying the highest exponent prime factors to calculate the LCM of 66615 and 66625.
LCM(66615,66625) = 31 × 53 × 44411 × 131 × 411
LCM(66615,66625) = 887644875
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