What is the Least Common Multiple of 60826 and 60830?
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 60826 and 60830 is 1850022790.
LCM(60826,60830) = 1850022790
Least Common Multiple of 60826 and 60830 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 60826 and 60830, than apply into the LCM equation.
GCF(60826,60830) = 2
LCM(60826,60830) = ( 60826 × 60830) / 2
LCM(60826,60830) = 3700045580 / 2
LCM(60826,60830) = 1850022790
Least Common Multiple (LCM) of 60826 and 60830 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 60826 and 60830. First we will calculate the prime factors of 60826 and 60830.
Prime Factorization of 60826
Prime factors of 60826 are 2, 17, 1789. Prime factorization of 60826 in exponential form is:
60826 = 21 × 171 × 17891
Prime Factorization of 60830
Prime factors of 60830 are 2, 5, 7, 11, 79. Prime factorization of 60830 in exponential form is:
60830 = 21 × 51 × 71 × 111 × 791
Now multiplying the highest exponent prime factors to calculate the LCM of 60826 and 60830.
LCM(60826,60830) = 21 × 171 × 17891 × 51 × 71 × 111 × 791
LCM(60826,60830) = 1850022790
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