What is the Least Common Multiple of 94039 and 94052?
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 94039 and 94052 is 8844556028.
LCM(94039,94052) = 8844556028
Least Common Multiple of 94039 and 94052 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 94039 and 94052, than apply into the LCM equation.
GCF(94039,94052) = 1
LCM(94039,94052) = ( 94039 × 94052) / 1
LCM(94039,94052) = 8844556028 / 1
LCM(94039,94052) = 8844556028
Least Common Multiple (LCM) of 94039 and 94052 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 94039 and 94052. First we will calculate the prime factors of 94039 and 94052.
Prime Factorization of 94039
Prime factors of 94039 are 11, 83, 103. Prime factorization of 94039 in exponential form is:
94039 = 111 × 831 × 1031
Prime Factorization of 94052
Prime factors of 94052 are 2, 7, 3359. Prime factorization of 94052 in exponential form is:
94052 = 22 × 71 × 33591
Now multiplying the highest exponent prime factors to calculate the LCM of 94039 and 94052.
LCM(94039,94052) = 111 × 831 × 1031 × 22 × 71 × 33591
LCM(94039,94052) = 8844556028
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