What is the Least Common Multiple of 49178 and 49183?
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 49178 and 49183 is 2418721574.
LCM(49178,49183) = 2418721574
Least Common Multiple of 49178 and 49183 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 49178 and 49183, than apply into the LCM equation.
GCF(49178,49183) = 1
LCM(49178,49183) = ( 49178 × 49183) / 1
LCM(49178,49183) = 2418721574 / 1
LCM(49178,49183) = 2418721574
Least Common Multiple (LCM) of 49178 and 49183 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 49178 and 49183. First we will calculate the prime factors of 49178 and 49183.
Prime Factorization of 49178
Prime factors of 49178 are 2, 67, 367. Prime factorization of 49178 in exponential form is:
49178 = 21 × 671 × 3671
Prime Factorization of 49183
Prime factors of 49183 are 137, 359. Prime factorization of 49183 in exponential form is:
49183 = 1371 × 3591
Now multiplying the highest exponent prime factors to calculate the LCM of 49178 and 49183.
LCM(49178,49183) = 21 × 671 × 3671 × 1371 × 3591
LCM(49178,49183) = 2418721574
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