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What is the Least Common Multiple of 66945 and 66950?

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 66945 and 66950 is 896393550.

LCM(66945,66950) = 896393550

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Least Common Multiple of 66945 and 66950 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 66945 and 66950, than apply into the LCM equation.

GCF(66945,66950) = 5
LCM(66945,66950) = ( 66945 × 66950) / 5
LCM(66945,66950) = 4481967750 / 5
LCM(66945,66950) = 896393550

Least Common Multiple (LCM) of 66945 and 66950 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 66945 and 66950. First we will calculate the prime factors of 66945 and 66950.

Prime Factorization of 66945

Prime factors of 66945 are 3, 5, 4463. Prime factorization of 66945 in exponential form is:

66945 = 31 × 51 × 44631

Prime Factorization of 66950

Prime factors of 66950 are 2, 5, 13, 103. Prime factorization of 66950 in exponential form is:

66950 = 21 × 52 × 131 × 1031

Now multiplying the highest exponent prime factors to calculate the LCM of 66945 and 66950.

LCM(66945,66950) = 31 × 52 × 44631 × 21 × 131 × 1031
LCM(66945,66950) = 896393550