What is the Least Common Multiple of 63341 and 63346?
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 63341 and 63346 is 4012398986.
LCM(63341,63346) = 4012398986
Least Common Multiple of 63341 and 63346 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 63341 and 63346, than apply into the LCM equation.
GCF(63341,63346) = 1
LCM(63341,63346) = ( 63341 × 63346) / 1
LCM(63341,63346) = 4012398986 / 1
LCM(63341,63346) = 4012398986
Least Common Multiple (LCM) of 63341 and 63346 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 63341 and 63346. First we will calculate the prime factors of 63341 and 63346.
Prime Factorization of 63341
Prime factors of 63341 are 97, 653. Prime factorization of 63341 in exponential form is:
63341 = 971 × 6531
Prime Factorization of 63346
Prime factors of 63346 are 2, 19, 1667. Prime factorization of 63346 in exponential form is:
63346 = 21 × 191 × 16671
Now multiplying the highest exponent prime factors to calculate the LCM of 63341 and 63346.
LCM(63341,63346) = 971 × 6531 × 21 × 191 × 16671
LCM(63341,63346) = 4012398986
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