What is the Least Common Multiple of 94028 and 94033?
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 94028 and 94033 is 8841734924.
LCM(94028,94033) = 8841734924
Least Common Multiple of 94028 and 94033 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 94028 and 94033, than apply into the LCM equation.
GCF(94028,94033) = 1
LCM(94028,94033) = ( 94028 × 94033) / 1
LCM(94028,94033) = 8841734924 / 1
LCM(94028,94033) = 8841734924
Least Common Multiple (LCM) of 94028 and 94033 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 94028 and 94033. First we will calculate the prime factors of 94028 and 94033.
Prime Factorization of 94028
Prime factors of 94028 are 2, 11, 2137. Prime factorization of 94028 in exponential form is:
94028 = 22 × 111 × 21371
Prime Factorization of 94033
Prime factors of 94033 are 94033. Prime factorization of 94033 in exponential form is:
94033 = 940331
Now multiplying the highest exponent prime factors to calculate the LCM of 94028 and 94033.
LCM(94028,94033) = 22 × 111 × 21371 × 940331
LCM(94028,94033) = 8841734924
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