What is the Least Common Multiple of 63151 and 63156?
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 63156 is 3988364556.
LCM(63151,63156) = 3988364556
Least Common Multiple of 63151 and 63156 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 63156, than apply into the LCM equation.
GCF(63151,63156) = 1
LCM(63151,63156) = ( 63151 × 63156) / 1
LCM(63151,63156) = 3988364556 / 1
LCM(63151,63156) = 3988364556
Least Common Multiple (LCM) of 63151 and 63156 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 63151 and 63156. First we will calculate the prime factors of 63151 and 63156.
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 63156
Prime factors of 63156 are 2, 3, 19, 277. Prime factorization of 63156 in exponential form is:
63156 = 22 × 31 × 191 × 2771
Now multiplying the highest exponent prime factors to calculate the LCM of 63151 and 63156.
LCM(63151,63156) = 111 × 57411 × 22 × 31 × 191 × 2771
LCM(63151,63156) = 3988364556
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