What is the Least Common Multiple of 94364 and 94383?
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 94364 and 94383 is 8906357412.
LCM(94364,94383) = 8906357412
Least Common Multiple of 94364 and 94383 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 94364 and 94383, than apply into the LCM equation.
GCF(94364,94383) = 1
LCM(94364,94383) = ( 94364 × 94383) / 1
LCM(94364,94383) = 8906357412 / 1
LCM(94364,94383) = 8906357412
Least Common Multiple (LCM) of 94364 and 94383 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 94364 and 94383. First we will calculate the prime factors of 94364 and 94383.
Prime Factorization of 94364
Prime factors of 94364 are 2, 31, 761. Prime factorization of 94364 in exponential form is:
94364 = 22 × 311 × 7611
Prime Factorization of 94383
Prime factors of 94383 are 3, 10487. Prime factorization of 94383 in exponential form is:
94383 = 32 × 104871
Now multiplying the highest exponent prime factors to calculate the LCM of 94364 and 94383.
LCM(94364,94383) = 22 × 311 × 7611 × 32 × 104871
LCM(94364,94383) = 8906357412
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