What is the Least Common Multiple of 69454 and 69463?
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 69454 and 69463 is 4824483202.
LCM(69454,69463) = 4824483202
Least Common Multiple of 69454 and 69463 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 69454 and 69463, than apply into the LCM equation.
GCF(69454,69463) = 1
LCM(69454,69463) = ( 69454 × 69463) / 1
LCM(69454,69463) = 4824483202 / 1
LCM(69454,69463) = 4824483202
Least Common Multiple (LCM) of 69454 and 69463 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 69454 and 69463. First we will calculate the prime factors of 69454 and 69463.
Prime Factorization of 69454
Prime factors of 69454 are 2, 7, 11, 41. Prime factorization of 69454 in exponential form is:
69454 = 21 × 71 × 112 × 411
Prime Factorization of 69463
Prime factors of 69463 are 69463. Prime factorization of 69463 in exponential form is:
69463 = 694631
Now multiplying the highest exponent prime factors to calculate the LCM of 69454 and 69463.
LCM(69454,69463) = 21 × 71 × 112 × 411 × 694631
LCM(69454,69463) = 4824483202
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Related Least Common Multiples of 69463
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