What is the Least Common Multiple of 63095 and 63108?
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 63095 and 63108 is 3981799260.
LCM(63095,63108) = 3981799260
Least Common Multiple of 63095 and 63108 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 63095 and 63108, than apply into the LCM equation.
GCF(63095,63108) = 1
LCM(63095,63108) = ( 63095 × 63108) / 1
LCM(63095,63108) = 3981799260 / 1
LCM(63095,63108) = 3981799260
Least Common Multiple (LCM) of 63095 and 63108 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 63095 and 63108. First we will calculate the prime factors of 63095 and 63108.
Prime Factorization of 63095
Prime factors of 63095 are 5, 12619. Prime factorization of 63095 in exponential form is:
63095 = 51 × 126191
Prime Factorization of 63108
Prime factors of 63108 are 2, 3, 1753. Prime factorization of 63108 in exponential form is:
63108 = 22 × 32 × 17531
Now multiplying the highest exponent prime factors to calculate the LCM of 63095 and 63108.
LCM(63095,63108) = 51 × 126191 × 22 × 32 × 17531
LCM(63095,63108) = 3981799260
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