What is the Least Common Multiple of 98761 and 98776?
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 98761 and 98776 is 9755216536.
LCM(98761,98776) = 9755216536
Least Common Multiple of 98761 and 98776 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 98761 and 98776, than apply into the LCM equation.
GCF(98761,98776) = 1
LCM(98761,98776) = ( 98761 × 98776) / 1
LCM(98761,98776) = 9755216536 / 1
LCM(98761,98776) = 9755216536
Least Common Multiple (LCM) of 98761 and 98776 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 98761 and 98776. First we will calculate the prime factors of 98761 and 98776.
Prime Factorization of 98761
Prime factors of 98761 are 13, 71, 107. Prime factorization of 98761 in exponential form is:
98761 = 131 × 711 × 1071
Prime Factorization of 98776
Prime factors of 98776 are 2, 12347. Prime factorization of 98776 in exponential form is:
98776 = 23 × 123471
Now multiplying the highest exponent prime factors to calculate the LCM of 98761 and 98776.
LCM(98761,98776) = 131 × 711 × 1071 × 23 × 123471
LCM(98761,98776) = 9755216536
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