What is the Least Common Multiple of 94060 and 94070?
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 94060 and 94070 is 884822420.
LCM(94060,94070) = 884822420
Least Common Multiple of 94060 and 94070 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 94060 and 94070, than apply into the LCM equation.
GCF(94060,94070) = 10
LCM(94060,94070) = ( 94060 × 94070) / 10
LCM(94060,94070) = 8848224200 / 10
LCM(94060,94070) = 884822420
Least Common Multiple (LCM) of 94060 and 94070 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 94060 and 94070. First we will calculate the prime factors of 94060 and 94070.
Prime Factorization of 94060
Prime factors of 94060 are 2, 5, 4703. Prime factorization of 94060 in exponential form is:
94060 = 22 × 51 × 47031
Prime Factorization of 94070
Prime factors of 94070 are 2, 5, 23, 409. Prime factorization of 94070 in exponential form is:
94070 = 21 × 51 × 231 × 4091
Now multiplying the highest exponent prime factors to calculate the LCM of 94060 and 94070.
LCM(94060,94070) = 22 × 51 × 47031 × 231 × 4091
LCM(94060,94070) = 884822420
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