What is the Least Common Multiple of 66986 and 66993?
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 66986 and 66993 is 4487593098.
LCM(66986,66993) = 4487593098
Least Common Multiple of 66986 and 66993 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 66986 and 66993, than apply into the LCM equation.
GCF(66986,66993) = 1
LCM(66986,66993) = ( 66986 × 66993) / 1
LCM(66986,66993) = 4487593098 / 1
LCM(66986,66993) = 4487593098
Least Common Multiple (LCM) of 66986 and 66993 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 66986 and 66993. First we will calculate the prime factors of 66986 and 66993.
Prime Factorization of 66986
Prime factors of 66986 are 2, 33493. Prime factorization of 66986 in exponential form is:
66986 = 21 × 334931
Prime Factorization of 66993
Prime factors of 66993 are 3, 137, 163. Prime factorization of 66993 in exponential form is:
66993 = 31 × 1371 × 1631
Now multiplying the highest exponent prime factors to calculate the LCM of 66986 and 66993.
LCM(66986,66993) = 21 × 334931 × 31 × 1371 × 1631
LCM(66986,66993) = 4487593098
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