What is the Least Common Multiple of 93650 and 93661?
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 93650 and 93661 is 8771352650.
LCM(93650,93661) = 8771352650
Least Common Multiple of 93650 and 93661 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 93650 and 93661, than apply into the LCM equation.
GCF(93650,93661) = 1
LCM(93650,93661) = ( 93650 × 93661) / 1
LCM(93650,93661) = 8771352650 / 1
LCM(93650,93661) = 8771352650
Least Common Multiple (LCM) of 93650 and 93661 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 93650 and 93661. First we will calculate the prime factors of 93650 and 93661.
Prime Factorization of 93650
Prime factors of 93650 are 2, 5, 1873. Prime factorization of 93650 in exponential form is:
93650 = 21 × 52 × 18731
Prime Factorization of 93661
Prime factors of 93661 are 229, 409. Prime factorization of 93661 in exponential form is:
93661 = 2291 × 4091
Now multiplying the highest exponent prime factors to calculate the LCM of 93650 and 93661.
LCM(93650,93661) = 21 × 52 × 18731 × 2291 × 4091
LCM(93650,93661) = 8771352650
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