What is the Least Common Multiple of 8650 and 8661?
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 8650 and 8661 is 74917650.
LCM(8650,8661) = 74917650
Least Common Multiple of 8650 and 8661 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8650 and 8661, than apply into the LCM equation.
GCF(8650,8661) = 1
LCM(8650,8661) = ( 8650 × 8661) / 1
LCM(8650,8661) = 74917650 / 1
LCM(8650,8661) = 74917650
Least Common Multiple (LCM) of 8650 and 8661 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 8650 and 8661. First we will calculate the prime factors of 8650 and 8661.
Prime Factorization of 8650
Prime factors of 8650 are 2, 5, 173. Prime factorization of 8650 in exponential form is:
8650 = 21 × 52 × 1731
Prime Factorization of 8661
Prime factors of 8661 are 3, 2887. Prime factorization of 8661 in exponential form is:
8661 = 31 × 28871
Now multiplying the highest exponent prime factors to calculate the LCM of 8650 and 8661.
LCM(8650,8661) = 21 × 52 × 1731 × 31 × 28871
LCM(8650,8661) = 74917650
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