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What is the Least Common Multiple of 65890 and 65894?

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 65890 and 65894 is 2170877830.

LCM(65890,65894) = 2170877830

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Least Common Multiple of 65890 and 65894 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 65890 and 65894, than apply into the LCM equation.

GCF(65890,65894) = 2
LCM(65890,65894) = ( 65890 × 65894) / 2
LCM(65890,65894) = 4341755660 / 2
LCM(65890,65894) = 2170877830

Least Common Multiple (LCM) of 65890 and 65894 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 65890 and 65894. First we will calculate the prime factors of 65890 and 65894.

Prime Factorization of 65890

Prime factors of 65890 are 2, 5, 11, 599. Prime factorization of 65890 in exponential form is:

65890 = 21 × 51 × 111 × 5991

Prime Factorization of 65894

Prime factors of 65894 are 2, 47, 701. Prime factorization of 65894 in exponential form is:

65894 = 21 × 471 × 7011

Now multiplying the highest exponent prime factors to calculate the LCM of 65890 and 65894.

LCM(65890,65894) = 21 × 51 × 111 × 5991 × 471 × 7011
LCM(65890,65894) = 2170877830