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What is the Least Common Multiple of 66692 and 66700?

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 66692 and 66700 is 1112089100.

LCM(66692,66700) = 1112089100

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Least Common Multiple of 66692 and 66700 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 66692 and 66700, than apply into the LCM equation.

GCF(66692,66700) = 4
LCM(66692,66700) = ( 66692 × 66700) / 4
LCM(66692,66700) = 4448356400 / 4
LCM(66692,66700) = 1112089100

Least Common Multiple (LCM) of 66692 and 66700 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 66692 and 66700. First we will calculate the prime factors of 66692 and 66700.

Prime Factorization of 66692

Prime factors of 66692 are 2, 16673. Prime factorization of 66692 in exponential form is:

66692 = 22 × 166731

Prime Factorization of 66700

Prime factors of 66700 are 2, 5, 23, 29. Prime factorization of 66700 in exponential form is:

66700 = 22 × 52 × 231 × 291

Now multiplying the highest exponent prime factors to calculate the LCM of 66692 and 66700.

LCM(66692,66700) = 22 × 166731 × 52 × 231 × 291
LCM(66692,66700) = 1112089100