What is the Least Common Multiple of 49615 and 49621?
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 49615 and 49621 is 2461945915.
LCM(49615,49621) = 2461945915
Least Common Multiple of 49615 and 49621 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 49615 and 49621, than apply into the LCM equation.
GCF(49615,49621) = 1
LCM(49615,49621) = ( 49615 × 49621) / 1
LCM(49615,49621) = 2461945915 / 1
LCM(49615,49621) = 2461945915
Least Common Multiple (LCM) of 49615 and 49621 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 49615 and 49621. First we will calculate the prime factors of 49615 and 49621.
Prime Factorization of 49615
Prime factors of 49615 are 5, 9923. Prime factorization of 49615 in exponential form is:
49615 = 51 × 99231
Prime Factorization of 49621
Prime factors of 49621 are 11, 13, 347. Prime factorization of 49621 in exponential form is:
49621 = 111 × 131 × 3471
Now multiplying the highest exponent prime factors to calculate the LCM of 49615 and 49621.
LCM(49615,49621) = 51 × 99231 × 111 × 131 × 3471
LCM(49615,49621) = 2461945915
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