What is the Least Common Multiple of 61159 and 61163?
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 61159 and 61163 is 3740667917.
LCM(61159,61163) = 3740667917
Least Common Multiple of 61159 and 61163 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 61159 and 61163, than apply into the LCM equation.
GCF(61159,61163) = 1
LCM(61159,61163) = ( 61159 × 61163) / 1
LCM(61159,61163) = 3740667917 / 1
LCM(61159,61163) = 3740667917
Least Common Multiple (LCM) of 61159 and 61163 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 61159 and 61163. First we will calculate the prime factors of 61159 and 61163.
Prime Factorization of 61159
Prime factors of 61159 are 7, 8737. Prime factorization of 61159 in exponential form is:
61159 = 71 × 87371
Prime Factorization of 61163
Prime factors of 61163 are 31, 1973. Prime factorization of 61163 in exponential form is:
61163 = 311 × 19731
Now multiplying the highest exponent prime factors to calculate the LCM of 61159 and 61163.
LCM(61159,61163) = 71 × 87371 × 311 × 19731
LCM(61159,61163) = 3740667917
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