What is the Least Common Multiple of 18650 and 18661?
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 18650 and 18661 is 348027650.
LCM(18650,18661) = 348027650
Least Common Multiple of 18650 and 18661 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 18650 and 18661, than apply into the LCM equation.
GCF(18650,18661) = 1
LCM(18650,18661) = ( 18650 × 18661) / 1
LCM(18650,18661) = 348027650 / 1
LCM(18650,18661) = 348027650
Least Common Multiple (LCM) of 18650 and 18661 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 18650 and 18661. First we will calculate the prime factors of 18650 and 18661.
Prime Factorization of 18650
Prime factors of 18650 are 2, 5, 373. Prime factorization of 18650 in exponential form is:
18650 = 21 × 52 × 3731
Prime Factorization of 18661
Prime factors of 18661 are 18661. Prime factorization of 18661 in exponential form is:
18661 = 186611
Now multiplying the highest exponent prime factors to calculate the LCM of 18650 and 18661.
LCM(18650,18661) = 21 × 52 × 3731 × 186611
LCM(18650,18661) = 348027650
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