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What is the Least Common Multiple of 66913 and 66924?

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 66913 and 66924 is 407098692.

LCM(66913,66924) = 407098692

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Least Common Multiple of 66913 and 66924 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 66913 and 66924, than apply into the LCM equation.

GCF(66913,66924) = 11
LCM(66913,66924) = ( 66913 × 66924) / 11
LCM(66913,66924) = 4478085612 / 11
LCM(66913,66924) = 407098692

Least Common Multiple (LCM) of 66913 and 66924 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 66913 and 66924. First we will calculate the prime factors of 66913 and 66924.

Prime Factorization of 66913

Prime factors of 66913 are 7, 11, 79. Prime factorization of 66913 in exponential form is:

66913 = 71 × 112 × 791

Prime Factorization of 66924

Prime factors of 66924 are 2, 3, 11, 13. Prime factorization of 66924 in exponential form is:

66924 = 22 × 32 × 111 × 132

Now multiplying the highest exponent prime factors to calculate the LCM of 66913 and 66924.

LCM(66913,66924) = 71 × 112 × 791 × 22 × 32 × 132
LCM(66913,66924) = 407098692