What is the Least Common Multiple of 76651 and 76663?
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 76651 and 76663 is 5876295613.
LCM(76651,76663) = 5876295613
Least Common Multiple of 76651 and 76663 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 76651 and 76663, than apply into the LCM equation.
GCF(76651,76663) = 1
LCM(76651,76663) = ( 76651 × 76663) / 1
LCM(76651,76663) = 5876295613 / 1
LCM(76651,76663) = 5876295613
Least Common Multiple (LCM) of 76651 and 76663 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 76651 and 76663. First we will calculate the prime factors of 76651 and 76663.
Prime Factorization of 76651
Prime factors of 76651 are 76651. Prime factorization of 76651 in exponential form is:
76651 = 766511
Prime Factorization of 76663
Prime factors of 76663 are 31, 2473. Prime factorization of 76663 in exponential form is:
76663 = 311 × 24731
Now multiplying the highest exponent prime factors to calculate the LCM of 76651 and 76663.
LCM(76651,76663) = 766511 × 311 × 24731
LCM(76651,76663) = 5876295613
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