What is the Least Common Multiple of 63379 and 63385?
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 63379 and 63385 is 4017277915.
LCM(63379,63385) = 4017277915
Least Common Multiple of 63379 and 63385 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 63379 and 63385, than apply into the LCM equation.
GCF(63379,63385) = 1
LCM(63379,63385) = ( 63379 × 63385) / 1
LCM(63379,63385) = 4017277915 / 1
LCM(63379,63385) = 4017277915
Least Common Multiple (LCM) of 63379 and 63385 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 63379 and 63385. First we will calculate the prime factors of 63379 and 63385.
Prime Factorization of 63379
Prime factors of 63379 are 61, 1039. Prime factorization of 63379 in exponential form is:
63379 = 611 × 10391
Prime Factorization of 63385
Prime factors of 63385 are 5, 7, 1811. Prime factorization of 63385 in exponential form is:
63385 = 51 × 71 × 18111
Now multiplying the highest exponent prime factors to calculate the LCM of 63379 and 63385.
LCM(63379,63385) = 611 × 10391 × 51 × 71 × 18111
LCM(63379,63385) = 4017277915
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