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What is the Least Common Multiple of 66973 and 66980?

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 66973 and 66980 is 4485851540.

LCM(66973,66980) = 4485851540

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Least Common Multiple of 66973 and 66980 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 66973 and 66980, than apply into the LCM equation.

GCF(66973,66980) = 1
LCM(66973,66980) = ( 66973 × 66980) / 1
LCM(66973,66980) = 4485851540 / 1
LCM(66973,66980) = 4485851540

Least Common Multiple (LCM) of 66973 and 66980 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 66973 and 66980. First we will calculate the prime factors of 66973 and 66980.

Prime Factorization of 66973

Prime factors of 66973 are 66973. Prime factorization of 66973 in exponential form is:

66973 = 669731

Prime Factorization of 66980

Prime factors of 66980 are 2, 5, 17, 197. Prime factorization of 66980 in exponential form is:

66980 = 22 × 51 × 171 × 1971

Now multiplying the highest exponent prime factors to calculate the LCM of 66973 and 66980.

LCM(66973,66980) = 669731 × 22 × 51 × 171 × 1971
LCM(66973,66980) = 4485851540