What is the Least Common Multiple of 66292 and 66301?
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 66292 and 66301 is 4395225892.
LCM(66292,66301) = 4395225892
Least Common Multiple of 66292 and 66301 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 66292 and 66301, than apply into the LCM equation.
GCF(66292,66301) = 1
LCM(66292,66301) = ( 66292 × 66301) / 1
LCM(66292,66301) = 4395225892 / 1
LCM(66292,66301) = 4395225892
Least Common Multiple (LCM) of 66292 and 66301 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 66292 and 66301. First we will calculate the prime factors of 66292 and 66301.
Prime Factorization of 66292
Prime factors of 66292 are 2, 16573. Prime factorization of 66292 in exponential form is:
66292 = 22 × 165731
Prime Factorization of 66301
Prime factors of 66301 are 66301. Prime factorization of 66301 in exponential form is:
66301 = 663011
Now multiplying the highest exponent prime factors to calculate the LCM of 66292 and 66301.
LCM(66292,66301) = 22 × 165731 × 663011
LCM(66292,66301) = 4395225892
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