What is the Least Common Multiple of 39420 and 39424?
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 39420 and 39424 is 388523520.
LCM(39420,39424) = 388523520
Least Common Multiple of 39420 and 39424 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 39420 and 39424, than apply into the LCM equation.
GCF(39420,39424) = 4
LCM(39420,39424) = ( 39420 × 39424) / 4
LCM(39420,39424) = 1554094080 / 4
LCM(39420,39424) = 388523520
Least Common Multiple (LCM) of 39420 and 39424 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 39420 and 39424. First we will calculate the prime factors of 39420 and 39424.
Prime Factorization of 39420
Prime factors of 39420 are 2, 3, 5, 73. Prime factorization of 39420 in exponential form is:
39420 = 22 × 33 × 51 × 731
Prime Factorization of 39424
Prime factors of 39424 are 2, 7, 11. Prime factorization of 39424 in exponential form is:
39424 = 29 × 71 × 111
Now multiplying the highest exponent prime factors to calculate the LCM of 39420 and 39424.
LCM(39420,39424) = 29 × 33 × 51 × 731 × 71 × 111
LCM(39420,39424) = 388523520
Related Least Common Multiples of 39420
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Related Least Common Multiples of 39424
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