What is the Least Common Multiple of 56320 and 56325?
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 56320 and 56325 is 634444800.
LCM(56320,56325) = 634444800
Least Common Multiple of 56320 and 56325 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 56320 and 56325, than apply into the LCM equation.
GCF(56320,56325) = 5
LCM(56320,56325) = ( 56320 × 56325) / 5
LCM(56320,56325) = 3172224000 / 5
LCM(56320,56325) = 634444800
Least Common Multiple (LCM) of 56320 and 56325 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 56320 and 56325. First we will calculate the prime factors of 56320 and 56325.
Prime Factorization of 56320
Prime factors of 56320 are 2, 5, 11. Prime factorization of 56320 in exponential form is:
56320 = 210 × 51 × 111
Prime Factorization of 56325
Prime factors of 56325 are 3, 5, 751. Prime factorization of 56325 in exponential form is:
56325 = 31 × 52 × 7511
Now multiplying the highest exponent prime factors to calculate the LCM of 56320 and 56325.
LCM(56320,56325) = 210 × 52 × 111 × 31 × 7511
LCM(56320,56325) = 634444800
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Related Least Common Multiples of 56325
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