What is the Least Common Multiple of 66965 and 66978?
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 66965 and 66978 is 4485181770.
LCM(66965,66978) = 4485181770
Least Common Multiple of 66965 and 66978 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 66965 and 66978, than apply into the LCM equation.
GCF(66965,66978) = 1
LCM(66965,66978) = ( 66965 × 66978) / 1
LCM(66965,66978) = 4485181770 / 1
LCM(66965,66978) = 4485181770
Least Common Multiple (LCM) of 66965 and 66978 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 66965 and 66978. First we will calculate the prime factors of 66965 and 66978.
Prime Factorization of 66965
Prime factors of 66965 are 5, 59, 227. Prime factorization of 66965 in exponential form is:
66965 = 51 × 591 × 2271
Prime Factorization of 66978
Prime factors of 66978 are 2, 3, 61. Prime factorization of 66978 in exponential form is:
66978 = 21 × 32 × 612
Now multiplying the highest exponent prime factors to calculate the LCM of 66965 and 66978.
LCM(66965,66978) = 51 × 591 × 2271 × 21 × 32 × 612
LCM(66965,66978) = 4485181770
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