What is the Least Common Multiple of 61513 and 61532?
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 61513 and 61532 is 3785017916.
LCM(61513,61532) = 3785017916
Least Common Multiple of 61513 and 61532 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 61513 and 61532, than apply into the LCM equation.
GCF(61513,61532) = 1
LCM(61513,61532) = ( 61513 × 61532) / 1
LCM(61513,61532) = 3785017916 / 1
LCM(61513,61532) = 3785017916
Least Common Multiple (LCM) of 61513 and 61532 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 61513 and 61532. First we will calculate the prime factors of 61513 and 61532.
Prime Factorization of 61513
Prime factors of 61513 are 137, 449. Prime factorization of 61513 in exponential form is:
61513 = 1371 × 4491
Prime Factorization of 61532
Prime factors of 61532 are 2, 15383. Prime factorization of 61532 in exponential form is:
61532 = 22 × 153831
Now multiplying the highest exponent prime factors to calculate the LCM of 61513 and 61532.
LCM(61513,61532) = 1371 × 4491 × 22 × 153831
LCM(61513,61532) = 3785017916
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