What is the Least Common Multiple of 60454 and 60463?
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 60454 and 60463 is 3655230202.
LCM(60454,60463) = 3655230202
Least Common Multiple of 60454 and 60463 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 60454 and 60463, than apply into the LCM equation.
GCF(60454,60463) = 1
LCM(60454,60463) = ( 60454 × 60463) / 1
LCM(60454,60463) = 3655230202 / 1
LCM(60454,60463) = 3655230202
Least Common Multiple (LCM) of 60454 and 60463 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 60454 and 60463. First we will calculate the prime factors of 60454 and 60463.
Prime Factorization of 60454
Prime factors of 60454 are 2, 167, 181. Prime factorization of 60454 in exponential form is:
60454 = 21 × 1671 × 1811
Prime Factorization of 60463
Prime factors of 60463 are 13, 4651. Prime factorization of 60463 in exponential form is:
60463 = 131 × 46511
Now multiplying the highest exponent prime factors to calculate the LCM of 60454 and 60463.
LCM(60454,60463) = 21 × 1671 × 1811 × 131 × 46511
LCM(60454,60463) = 3655230202
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