What is the Least Common Multiple of 49609 and 49613?
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 49609 and 49613 is 2461251317.
LCM(49609,49613) = 2461251317
Least Common Multiple of 49609 and 49613 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 49609 and 49613, than apply into the LCM equation.
GCF(49609,49613) = 1
LCM(49609,49613) = ( 49609 × 49613) / 1
LCM(49609,49613) = 2461251317 / 1
LCM(49609,49613) = 2461251317
Least Common Multiple (LCM) of 49609 and 49613 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 49609 and 49613. First we will calculate the prime factors of 49609 and 49613.
Prime Factorization of 49609
Prime factors of 49609 are 7, 19, 373. Prime factorization of 49609 in exponential form is:
49609 = 71 × 191 × 3731
Prime Factorization of 49613
Prime factors of 49613 are 49613. Prime factorization of 49613 in exponential form is:
49613 = 496131
Now multiplying the highest exponent prime factors to calculate the LCM of 49609 and 49613.
LCM(49609,49613) = 71 × 191 × 3731 × 496131
LCM(49609,49613) = 2461251317
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