What is the Least Common Multiple of 44305 and 44310?
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 44305 and 44310 is 392630910.
LCM(44305,44310) = 392630910
Least Common Multiple of 44305 and 44310 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 44305 and 44310, than apply into the LCM equation.
GCF(44305,44310) = 5
LCM(44305,44310) = ( 44305 × 44310) / 5
LCM(44305,44310) = 1963154550 / 5
LCM(44305,44310) = 392630910
Least Common Multiple (LCM) of 44305 and 44310 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 44305 and 44310. First we will calculate the prime factors of 44305 and 44310.
Prime Factorization of 44305
Prime factors of 44305 are 5, 8861. Prime factorization of 44305 in exponential form is:
44305 = 51 × 88611
Prime Factorization of 44310
Prime factors of 44310 are 2, 3, 5, 7, 211. Prime factorization of 44310 in exponential form is:
44310 = 21 × 31 × 51 × 71 × 2111
Now multiplying the highest exponent prime factors to calculate the LCM of 44305 and 44310.
LCM(44305,44310) = 51 × 88611 × 21 × 31 × 71 × 2111
LCM(44305,44310) = 392630910
Related Least Common Multiples of 44305
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Related Least Common Multiples of 44310
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