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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

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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