What is the Least Common Multiple of 66021 and 66030?
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 66021 and 66030 is 1453122210.
LCM(66021,66030) = 1453122210
Least Common Multiple of 66021 and 66030 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 66021 and 66030, than apply into the LCM equation.
GCF(66021,66030) = 3
LCM(66021,66030) = ( 66021 × 66030) / 3
LCM(66021,66030) = 4359366630 / 3
LCM(66021,66030) = 1453122210
Least Common Multiple (LCM) of 66021 and 66030 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 66021 and 66030. First we will calculate the prime factors of 66021 and 66030.
Prime Factorization of 66021
Prime factors of 66021 are 3, 59, 373. Prime factorization of 66021 in exponential form is:
66021 = 31 × 591 × 3731
Prime Factorization of 66030
Prime factors of 66030 are 2, 3, 5, 31, 71. Prime factorization of 66030 in exponential form is:
66030 = 21 × 31 × 51 × 311 × 711
Now multiplying the highest exponent prime factors to calculate the LCM of 66021 and 66030.
LCM(66021,66030) = 31 × 591 × 3731 × 21 × 51 × 311 × 711
LCM(66021,66030) = 1453122210
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