What is the Least Common Multiple of 49274 and 49293?
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 49274 and 49293 is 2428863282.
LCM(49274,49293) = 2428863282
Least Common Multiple of 49274 and 49293 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 49274 and 49293, than apply into the LCM equation.
GCF(49274,49293) = 1
LCM(49274,49293) = ( 49274 × 49293) / 1
LCM(49274,49293) = 2428863282 / 1
LCM(49274,49293) = 2428863282
Least Common Multiple (LCM) of 49274 and 49293 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 49274 and 49293. First we will calculate the prime factors of 49274 and 49293.
Prime Factorization of 49274
Prime factors of 49274 are 2, 71, 347. Prime factorization of 49274 in exponential form is:
49274 = 21 × 711 × 3471
Prime Factorization of 49293
Prime factors of 49293 are 3, 5477. Prime factorization of 49293 in exponential form is:
49293 = 32 × 54771
Now multiplying the highest exponent prime factors to calculate the LCM of 49274 and 49293.
LCM(49274,49293) = 21 × 711 × 3471 × 32 × 54771
LCM(49274,49293) = 2428863282
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