What is the Least Common Multiple of 93627 and 93633?
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 93627 and 93633 is 2922192297.
LCM(93627,93633) = 2922192297
Least Common Multiple of 93627 and 93633 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 93627 and 93633, than apply into the LCM equation.
GCF(93627,93633) = 3
LCM(93627,93633) = ( 93627 × 93633) / 3
LCM(93627,93633) = 8766576891 / 3
LCM(93627,93633) = 2922192297
Least Common Multiple (LCM) of 93627 and 93633 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 93627 and 93633. First we will calculate the prime factors of 93627 and 93633.
Prime Factorization of 93627
Prime factors of 93627 are 3, 101, 103. Prime factorization of 93627 in exponential form is:
93627 = 32 × 1011 × 1031
Prime Factorization of 93633
Prime factors of 93633 are 3, 23, 59. Prime factorization of 93633 in exponential form is:
93633 = 31 × 232 × 591
Now multiplying the highest exponent prime factors to calculate the LCM of 93627 and 93633.
LCM(93627,93633) = 32 × 1011 × 1031 × 232 × 591
LCM(93627,93633) = 2922192297
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