What is the Least Common Multiple of 93330 and 93337?
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 93330 and 93337 is 8711142210.
LCM(93330,93337) = 8711142210
Least Common Multiple of 93330 and 93337 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 93330 and 93337, than apply into the LCM equation.
GCF(93330,93337) = 1
LCM(93330,93337) = ( 93330 × 93337) / 1
LCM(93330,93337) = 8711142210 / 1
LCM(93330,93337) = 8711142210
Least Common Multiple (LCM) of 93330 and 93337 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 93330 and 93337. First we will calculate the prime factors of 93330 and 93337.
Prime Factorization of 93330
Prime factors of 93330 are 2, 3, 5, 17, 61. Prime factorization of 93330 in exponential form is:
93330 = 21 × 32 × 51 × 171 × 611
Prime Factorization of 93337
Prime factors of 93337 are 93337. Prime factorization of 93337 in exponential form is:
93337 = 933371
Now multiplying the highest exponent prime factors to calculate the LCM of 93330 and 93337.
LCM(93330,93337) = 21 × 32 × 51 × 171 × 611 × 933371
LCM(93330,93337) = 8711142210
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