What is the Least Common Multiple of 11801 and 11811?
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 11801 and 11811 is 139381611.
LCM(11801,11811) = 139381611
Least Common Multiple of 11801 and 11811 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 11801 and 11811, than apply into the LCM equation.
GCF(11801,11811) = 1
LCM(11801,11811) = ( 11801 × 11811) / 1
LCM(11801,11811) = 139381611 / 1
LCM(11801,11811) = 139381611
Least Common Multiple (LCM) of 11801 and 11811 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 11801 and 11811. First we will calculate the prime factors of 11801 and 11811.
Prime Factorization of 11801
Prime factors of 11801 are 11801. Prime factorization of 11801 in exponential form is:
11801 = 118011
Prime Factorization of 11811
Prime factors of 11811 are 3, 31, 127. Prime factorization of 11811 in exponential form is:
11811 = 31 × 311 × 1271
Now multiplying the highest exponent prime factors to calculate the LCM of 11801 and 11811.
LCM(11801,11811) = 118011 × 31 × 311 × 1271
LCM(11801,11811) = 139381611
Related Least Common Multiples of 11801
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Related Least Common Multiples of 11811
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- LCM of 11811 and 11817
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