What is the Least Common Multiple of 30496 and 30505?
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 30496 and 30505 is 930280480.
LCM(30496,30505) = 930280480
Least Common Multiple of 30496 and 30505 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 30496 and 30505, than apply into the LCM equation.
GCF(30496,30505) = 1
LCM(30496,30505) = ( 30496 × 30505) / 1
LCM(30496,30505) = 930280480 / 1
LCM(30496,30505) = 930280480
Least Common Multiple (LCM) of 30496 and 30505 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 30496 and 30505. First we will calculate the prime factors of 30496 and 30505.
Prime Factorization of 30496
Prime factors of 30496 are 2, 953. Prime factorization of 30496 in exponential form is:
30496 = 25 × 9531
Prime Factorization of 30505
Prime factors of 30505 are 5, 6101. Prime factorization of 30505 in exponential form is:
30505 = 51 × 61011
Now multiplying the highest exponent prime factors to calculate the LCM of 30496 and 30505.
LCM(30496,30505) = 25 × 9531 × 51 × 61011
LCM(30496,30505) = 930280480
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