What is the Least Common Multiple of 77098 and 77102?
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 77098 and 77102 is 2972204998.
LCM(77098,77102) = 2972204998
Least Common Multiple of 77098 and 77102 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 77098 and 77102, than apply into the LCM equation.
GCF(77098,77102) = 2
LCM(77098,77102) = ( 77098 × 77102) / 2
LCM(77098,77102) = 5944409996 / 2
LCM(77098,77102) = 2972204998
Least Common Multiple (LCM) of 77098 and 77102 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 77098 and 77102. First we will calculate the prime factors of 77098 and 77102.
Prime Factorization of 77098
Prime factors of 77098 are 2, 7, 5507. Prime factorization of 77098 in exponential form is:
77098 = 21 × 71 × 55071
Prime Factorization of 77102
Prime factors of 77102 are 2, 19, 2029. Prime factorization of 77102 in exponential form is:
77102 = 21 × 191 × 20291
Now multiplying the highest exponent prime factors to calculate the LCM of 77098 and 77102.
LCM(77098,77102) = 21 × 71 × 55071 × 191 × 20291
LCM(77098,77102) = 2972204998
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