What is the Least Common Multiple of 61449 and 61453?
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 61449 and 61453 is 3776225397.
LCM(61449,61453) = 3776225397
Least Common Multiple of 61449 and 61453 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 61449 and 61453, than apply into the LCM equation.
GCF(61449,61453) = 1
LCM(61449,61453) = ( 61449 × 61453) / 1
LCM(61449,61453) = 3776225397 / 1
LCM(61449,61453) = 3776225397
Least Common Multiple (LCM) of 61449 and 61453 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 61449 and 61453. First we will calculate the prime factors of 61449 and 61453.
Prime Factorization of 61449
Prime factors of 61449 are 3, 20483. Prime factorization of 61449 in exponential form is:
61449 = 31 × 204831
Prime Factorization of 61453
Prime factors of 61453 are 7, 8779. Prime factorization of 61453 in exponential form is:
61453 = 71 × 87791
Now multiplying the highest exponent prime factors to calculate the LCM of 61449 and 61453.
LCM(61449,61453) = 31 × 204831 × 71 × 87791
LCM(61449,61453) = 3776225397
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