What is the Least Common Multiple of 63385 and 63402?
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 63385 and 63402 is 4018735770.
LCM(63385,63402) = 4018735770
Least Common Multiple of 63385 and 63402 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 63385 and 63402, than apply into the LCM equation.
GCF(63385,63402) = 1
LCM(63385,63402) = ( 63385 × 63402) / 1
LCM(63385,63402) = 4018735770 / 1
LCM(63385,63402) = 4018735770
Least Common Multiple (LCM) of 63385 and 63402 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 63385 and 63402. First we will calculate the prime factors of 63385 and 63402.
Prime Factorization of 63385
Prime factors of 63385 are 5, 7, 1811. Prime factorization of 63385 in exponential form is:
63385 = 51 × 71 × 18111
Prime Factorization of 63402
Prime factors of 63402 are 2, 3, 10567. Prime factorization of 63402 in exponential form is:
63402 = 21 × 31 × 105671
Now multiplying the highest exponent prime factors to calculate the LCM of 63385 and 63402.
LCM(63385,63402) = 51 × 71 × 18111 × 21 × 31 × 105671
LCM(63385,63402) = 4018735770
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