What is the Least Common Multiple of 94062 and 94068?
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 94062 and 94068 is 1474704036.
LCM(94062,94068) = 1474704036
Least Common Multiple of 94062 and 94068 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 94062 and 94068, than apply into the LCM equation.
GCF(94062,94068) = 6
LCM(94062,94068) = ( 94062 × 94068) / 6
LCM(94062,94068) = 8848224216 / 6
LCM(94062,94068) = 1474704036
Least Common Multiple (LCM) of 94062 and 94068 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 94062 and 94068. First we will calculate the prime factors of 94062 and 94068.
Prime Factorization of 94062
Prime factors of 94062 are 2, 3, 61, 257. Prime factorization of 94062 in exponential form is:
94062 = 21 × 31 × 611 × 2571
Prime Factorization of 94068
Prime factors of 94068 are 2, 3, 13, 67. Prime factorization of 94068 in exponential form is:
94068 = 22 × 33 × 131 × 671
Now multiplying the highest exponent prime factors to calculate the LCM of 94062 and 94068.
LCM(94062,94068) = 22 × 33 × 611 × 2571 × 131 × 671
LCM(94062,94068) = 1474704036
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