What is the Least Common Multiple of 87650 and 87663?
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 87650 and 87663 is 7683661950.
LCM(87650,87663) = 7683661950
Least Common Multiple of 87650 and 87663 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 87650 and 87663, than apply into the LCM equation.
GCF(87650,87663) = 1
LCM(87650,87663) = ( 87650 × 87663) / 1
LCM(87650,87663) = 7683661950 / 1
LCM(87650,87663) = 7683661950
Least Common Multiple (LCM) of 87650 and 87663 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 87650 and 87663. First we will calculate the prime factors of 87650 and 87663.
Prime Factorization of 87650
Prime factors of 87650 are 2, 5, 1753. Prime factorization of 87650 in exponential form is:
87650 = 21 × 52 × 17531
Prime Factorization of 87663
Prime factors of 87663 are 3, 29221. Prime factorization of 87663 in exponential form is:
87663 = 31 × 292211
Now multiplying the highest exponent prime factors to calculate the LCM of 87650 and 87663.
LCM(87650,87663) = 21 × 52 × 17531 × 31 × 292211
LCM(87650,87663) = 7683661950
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