What is the Least Common Multiple of 63359 and 63373?
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 63359 and 63373 is 4015249907.
LCM(63359,63373) = 4015249907
Least Common Multiple of 63359 and 63373 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 63359 and 63373, than apply into the LCM equation.
GCF(63359,63373) = 1
LCM(63359,63373) = ( 63359 × 63373) / 1
LCM(63359,63373) = 4015249907 / 1
LCM(63359,63373) = 4015249907
Least Common Multiple (LCM) of 63359 and 63373 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 63359 and 63373. First we will calculate the prime factors of 63359 and 63373.
Prime Factorization of 63359
Prime factors of 63359 are 17, 3727. Prime factorization of 63359 in exponential form is:
63359 = 171 × 37271
Prime Factorization of 63373
Prime factors of 63373 are 127, 499. Prime factorization of 63373 in exponential form is:
63373 = 1271 × 4991
Now multiplying the highest exponent prime factors to calculate the LCM of 63359 and 63373.
LCM(63359,63373) = 171 × 37271 × 1271 × 4991
LCM(63359,63373) = 4015249907
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