What is the Least Common Multiple of 94030 and 94038?
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 94030 and 94038 is 4421196570.
LCM(94030,94038) = 4421196570
Least Common Multiple of 94030 and 94038 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 94030 and 94038, than apply into the LCM equation.
GCF(94030,94038) = 2
LCM(94030,94038) = ( 94030 × 94038) / 2
LCM(94030,94038) = 8842393140 / 2
LCM(94030,94038) = 4421196570
Least Common Multiple (LCM) of 94030 and 94038 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 94030 and 94038. First we will calculate the prime factors of 94030 and 94038.
Prime Factorization of 94030
Prime factors of 94030 are 2, 5, 9403. Prime factorization of 94030 in exponential form is:
94030 = 21 × 51 × 94031
Prime Factorization of 94038
Prime factors of 94038 are 2, 3, 7, 2239. Prime factorization of 94038 in exponential form is:
94038 = 21 × 31 × 71 × 22391
Now multiplying the highest exponent prime factors to calculate the LCM of 94030 and 94038.
LCM(94030,94038) = 21 × 51 × 94031 × 31 × 71 × 22391
LCM(94030,94038) = 4421196570
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