What is the Least Common Multiple of 49141 and 49160?
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 49141 and 49160 is 2415771560.
LCM(49141,49160) = 2415771560
Least Common Multiple of 49141 and 49160 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 49141 and 49160, than apply into the LCM equation.
GCF(49141,49160) = 1
LCM(49141,49160) = ( 49141 × 49160) / 1
LCM(49141,49160) = 2415771560 / 1
LCM(49141,49160) = 2415771560
Least Common Multiple (LCM) of 49141 and 49160 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 49141 and 49160. First we will calculate the prime factors of 49141 and 49160.
Prime Factorization of 49141
Prime factors of 49141 are 157, 313. Prime factorization of 49141 in exponential form is:
49141 = 1571 × 3131
Prime Factorization of 49160
Prime factors of 49160 are 2, 5, 1229. Prime factorization of 49160 in exponential form is:
49160 = 23 × 51 × 12291
Now multiplying the highest exponent prime factors to calculate the LCM of 49141 and 49160.
LCM(49141,49160) = 1571 × 3131 × 23 × 51 × 12291
LCM(49141,49160) = 2415771560
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