What is the Least Common Multiple of 49386 and 49394?
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 49386 and 49394 is 1219686042.
LCM(49386,49394) = 1219686042
Least Common Multiple of 49386 and 49394 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 49386 and 49394, than apply into the LCM equation.
GCF(49386,49394) = 2
LCM(49386,49394) = ( 49386 × 49394) / 2
LCM(49386,49394) = 2439372084 / 2
LCM(49386,49394) = 1219686042
Least Common Multiple (LCM) of 49386 and 49394 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 49386 and 49394. First we will calculate the prime factors of 49386 and 49394.
Prime Factorization of 49386
Prime factors of 49386 are 2, 3, 8231. Prime factorization of 49386 in exponential form is:
49386 = 21 × 31 × 82311
Prime Factorization of 49394
Prime factors of 49394 are 2, 24697. Prime factorization of 49394 in exponential form is:
49394 = 21 × 246971
Now multiplying the highest exponent prime factors to calculate the LCM of 49386 and 49394.
LCM(49386,49394) = 21 × 31 × 82311 × 246971
LCM(49386,49394) = 1219686042
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