What is the Least Common Multiple of 63151 and 63169?
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 63151 and 63169 is 3989185519.
LCM(63151,63169) = 3989185519
Least Common Multiple of 63151 and 63169 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 63151 and 63169, than apply into the LCM equation.
GCF(63151,63169) = 1
LCM(63151,63169) = ( 63151 × 63169) / 1
LCM(63151,63169) = 3989185519 / 1
LCM(63151,63169) = 3989185519
Least Common Multiple (LCM) of 63151 and 63169 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 63151 and 63169. First we will calculate the prime factors of 63151 and 63169.
Prime Factorization of 63151
Prime factors of 63151 are 11, 5741. Prime factorization of 63151 in exponential form is:
63151 = 111 × 57411
Prime Factorization of 63169
Prime factors of 63169 are 181, 349. Prime factorization of 63169 in exponential form is:
63169 = 1811 × 3491
Now multiplying the highest exponent prime factors to calculate the LCM of 63151 and 63169.
LCM(63151,63169) = 111 × 57411 × 1811 × 3491
LCM(63151,63169) = 3989185519
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