What is the Least Common Multiple of 60401 and 60411?
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 60401 and 60411 is 3648884811.
LCM(60401,60411) = 3648884811
Least Common Multiple of 60401 and 60411 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 60401 and 60411, than apply into the LCM equation.
GCF(60401,60411) = 1
LCM(60401,60411) = ( 60401 × 60411) / 1
LCM(60401,60411) = 3648884811 / 1
LCM(60401,60411) = 3648884811
Least Common Multiple (LCM) of 60401 and 60411 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 60401 and 60411. First we will calculate the prime factors of 60401 and 60411.
Prime Factorization of 60401
Prime factors of 60401 are 11, 17, 19. Prime factorization of 60401 in exponential form is:
60401 = 111 × 172 × 191
Prime Factorization of 60411
Prime factors of 60411 are 3, 13, 1549. Prime factorization of 60411 in exponential form is:
60411 = 31 × 131 × 15491
Now multiplying the highest exponent prime factors to calculate the LCM of 60401 and 60411.
LCM(60401,60411) = 111 × 172 × 191 × 31 × 131 × 15491
LCM(60401,60411) = 3648884811
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