What is the Least Common Multiple of 9650 and 9655?
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 9650 and 9655 is 18634150.
LCM(9650,9655) = 18634150
Least Common Multiple of 9650 and 9655 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9650 and 9655, than apply into the LCM equation.
GCF(9650,9655) = 5
LCM(9650,9655) = ( 9650 × 9655) / 5
LCM(9650,9655) = 93170750 / 5
LCM(9650,9655) = 18634150
Least Common Multiple (LCM) of 9650 and 9655 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 9650 and 9655. First we will calculate the prime factors of 9650 and 9655.
Prime Factorization of 9650
Prime factors of 9650 are 2, 5, 193. Prime factorization of 9650 in exponential form is:
9650 = 21 × 52 × 1931
Prime Factorization of 9655
Prime factors of 9655 are 5, 1931. Prime factorization of 9655 in exponential form is:
9655 = 51 × 19311
Now multiplying the highest exponent prime factors to calculate the LCM of 9650 and 9655.
LCM(9650,9655) = 21 × 52 × 1931 × 19311
LCM(9650,9655) = 18634150
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