What is the Least Common Multiple of 66922 and 66929?
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 66922 and 66929 is 4479022538.
LCM(66922,66929) = 4479022538
Least Common Multiple of 66922 and 66929 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 66922 and 66929, than apply into the LCM equation.
GCF(66922,66929) = 1
LCM(66922,66929) = ( 66922 × 66929) / 1
LCM(66922,66929) = 4479022538 / 1
LCM(66922,66929) = 4479022538
Least Common Multiple (LCM) of 66922 and 66929 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 66922 and 66929. First we will calculate the prime factors of 66922 and 66929.
Prime Factorization of 66922
Prime factors of 66922 are 2, 33461. Prime factorization of 66922 in exponential form is:
66922 = 21 × 334611
Prime Factorization of 66929
Prime factors of 66929 are 17, 31, 127. Prime factorization of 66929 in exponential form is:
66929 = 171 × 311 × 1271
Now multiplying the highest exponent prime factors to calculate the LCM of 66922 and 66929.
LCM(66922,66929) = 21 × 334611 × 171 × 311 × 1271
LCM(66922,66929) = 4479022538
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