What is the Least Common Multiple of 76163 and 76169?
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 76163 and 76169 is 5801259547.
LCM(76163,76169) = 5801259547
Least Common Multiple of 76163 and 76169 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 76163 and 76169, than apply into the LCM equation.
GCF(76163,76169) = 1
LCM(76163,76169) = ( 76163 × 76169) / 1
LCM(76163,76169) = 5801259547 / 1
LCM(76163,76169) = 5801259547
Least Common Multiple (LCM) of 76163 and 76169 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 76163 and 76169. First we will calculate the prime factors of 76163 and 76169.
Prime Factorization of 76163
Prime factors of 76163 are 76163. Prime factorization of 76163 in exponential form is:
76163 = 761631
Prime Factorization of 76169
Prime factors of 76169 are 59, 1291. Prime factorization of 76169 in exponential form is:
76169 = 591 × 12911
Now multiplying the highest exponent prime factors to calculate the LCM of 76163 and 76169.
LCM(76163,76169) = 761631 × 591 × 12911
LCM(76163,76169) = 5801259547
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