What is the Least Common Multiple of 54621 and 54635?
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 54621 and 54635 is 426316905.
LCM(54621,54635) = 426316905
Least Common Multiple of 54621 and 54635 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 54621 and 54635, than apply into the LCM equation.
GCF(54621,54635) = 7
LCM(54621,54635) = ( 54621 × 54635) / 7
LCM(54621,54635) = 2984218335 / 7
LCM(54621,54635) = 426316905
Least Common Multiple (LCM) of 54621 and 54635 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 54621 and 54635. First we will calculate the prime factors of 54621 and 54635.
Prime Factorization of 54621
Prime factors of 54621 are 3, 7, 17. Prime factorization of 54621 in exponential form is:
54621 = 33 × 71 × 172
Prime Factorization of 54635
Prime factors of 54635 are 5, 7, 223. Prime factorization of 54635 in exponential form is:
54635 = 51 × 72 × 2231
Now multiplying the highest exponent prime factors to calculate the LCM of 54621 and 54635.
LCM(54621,54635) = 33 × 72 × 172 × 51 × 2231
LCM(54621,54635) = 426316905
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Related Least Common Multiples of 54635
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